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Finding the Third Proportional to 631,657 and 1,369,727

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Solution

The third proportional to 631,657 and 1,369,727 is: 2,970,207.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,657 : 1,369,727 = 1,369,727 : x
  2. Step 2: Convert to fraction form
    631,657/1,369,727 = 1,369,727/x
  3. Step 3: Cross multiply
    631,657x = 1,369,727 × 1,369,727
  4. Step 4: Simplify right side
    631,657x = 1,876,152,054,529
  5. Step 5: Solve for x
    x = 1,876,152,054,529/631,657
  6. Step 6: Final answer
    x = 2,970,207.02

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.