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Finding the Third Proportional to 731,650 and 1,597,364

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Solution

The third proportional to 731,650 and 1,597,364 is: 3,487,421.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    731,650 : 1,597,364 = 1,597,364 : x
  2. Step 2: Convert to fraction form
    731,650/1,597,364 = 1,597,364/x
  3. Step 3: Cross multiply
    731,650x = 1,597,364 × 1,597,364
  4. Step 4: Simplify right side
    731,650x = 2,551,571,748,496
  5. Step 5: Solve for x
    x = 2,551,571,748,496/731,650
  6. Step 6: Final answer
    x = 3,487,421.24

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.