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Finding the Third Proportional to 582,817,580.44 and 1,189,046,903.06

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Solution

The third proportional to 582,817,580.44 and 1,189,046,903.06 is: 2,425,857,738.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,817,580.44 : 1,189,046,903.06 = 1,189,046,903.06 : x
  2. Step 2: Convert to fraction form
    582,817,580.44/1,189,046,903.06 = 1,189,046,903.06/x
  3. Step 3: Cross multiply
    582,817,580.44x = 1,189,046,903.06 × 1,189,046,903.06
  4. Step 4: Simplify right side
    582,817,580.44x = 1,413,832,537,682,522,368
  5. Step 5: Solve for x
    x = 1,413,832,537,682,522,368/582,817,580.44
  6. Step 6: Final answer
    x = 2,425,857,738.58

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.