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Finding the Third Proportional to 569,952 and 1,231,272

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Solution

The third proportional to 569,952 and 1,231,272 is: 2,659,927.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,952 : 1,231,272 = 1,231,272 : x
  2. Step 2: Convert to fraction form
    569,952/1,231,272 = 1,231,272/x
  3. Step 3: Cross multiply
    569,952x = 1,231,272 × 1,231,272
  4. Step 4: Simplify right side
    569,952x = 1,516,030,737,984
  5. Step 5: Solve for x
    x = 1,516,030,737,984/569,952
  6. Step 6: Final answer
    x = 2,659,927.04

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