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Finding the Third Proportional to 582,845.63 and 1,254,264.19

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Solution

The third proportional to 582,845.63 and 1,254,264.19 is: 2,699,134.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,845.63 : 1,254,264.19 = 1,254,264.19 : x
  2. Step 2: Convert to fraction form
    582,845.63/1,254,264.19 = 1,254,264.19/x
  3. Step 3: Cross multiply
    582,845.63x = 1,254,264.19 × 1,254,264.19
  4. Step 4: Simplify right side
    582,845.63x = 1,573,178,652,045.04
  5. Step 5: Solve for x
    x = 1,573,178,652,045.04/582,845.63
  6. Step 6: Final answer
    x = 2,699,134.36

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.