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Finding the Third Proportional to 710,024 and 1,557,746

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Solution

The third proportional to 710,024 and 1,557,746 is: 3,417,592.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    710,024 : 1,557,746 = 1,557,746 : x
  2. Step 2: Convert to fraction form
    710,024/1,557,746 = 1,557,746/x
  3. Step 3: Cross multiply
    710,024x = 1,557,746 × 1,557,746
  4. Step 4: Simplify right side
    710,024x = 2,426,572,600,516
  5. Step 5: Solve for x
    x = 2,426,572,600,516/710,024
  6. Step 6: Final answer
    x = 3,417,592.36

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.