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Finding the Third Proportional to 653,866 and 1,407,925

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Solution

The third proportional to 653,866 and 1,407,925 is: 3,031,588.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,866 : 1,407,925 = 1,407,925 : x
  2. Step 2: Convert to fraction form
    653,866/1,407,925 = 1,407,925/x
  3. Step 3: Cross multiply
    653,866x = 1,407,925 × 1,407,925
  4. Step 4: Simplify right side
    653,866x = 1,982,252,805,625
  5. Step 5: Solve for x
    x = 1,982,252,805,625/653,866
  6. Step 6: Final answer
    x = 3,031,588.74

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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.