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Finding the Third Proportional to 583,644 and 1,254,468

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Solution

The third proportional to 583,644 and 1,254,468 is: 2,696,318.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,644 : 1,254,468 = 1,254,468 : x
  2. Step 2: Convert to fraction form
    583,644/1,254,468 = 1,254,468/x
  3. Step 3: Cross multiply
    583,644x = 1,254,468 × 1,254,468
  4. Step 4: Simplify right side
    583,644x = 1,573,689,963,024
  5. Step 5: Solve for x
    x = 1,573,689,963,024/583,644
  6. Step 6: Final answer
    x = 2,696,318.24

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