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Finding the Third Proportional to 582,817,314 and 1,189,046,340

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Solution

The third proportional to 582,817,314 and 1,189,046,340 is: 2,425,856,550.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,817,314 : 1,189,046,340 = 1,189,046,340 : x
  2. Step 2: Convert to fraction form
    582,817,314/1,189,046,340 = 1,189,046,340/x
  3. Step 3: Cross multiply
    582,817,314x = 1,189,046,340 × 1,189,046,340
  4. Step 4: Simplify right side
    582,817,314x = 1,413,831,198,667,395,584
  5. Step 5: Solve for x
    x = 1,413,831,198,667,395,584/582,817,314
  6. Step 6: Final answer
    x = 2,425,856,550.08

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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.