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Finding the Third Proportional to 721,592 and 1,557,592

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Solution

The third proportional to 721,592 and 1,557,592 is: 3,362,139.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    721,592 : 1,557,592 = 1,557,592 : x
  2. Step 2: Convert to fraction form
    721,592/1,557,592 = 1,557,592/x
  3. Step 3: Cross multiply
    721,592x = 1,557,592 × 1,557,592
  4. Step 4: Simplify right side
    721,592x = 2,426,092,838,464
  5. Step 5: Solve for x
    x = 2,426,092,838,464/721,592
  6. Step 6: Final answer
    x = 3,362,139.32

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.