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Finding the Third Proportional to 731,610 and 1,597,284

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Solution

The third proportional to 731,610 and 1,597,284 is: 3,487,262.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    731,610 : 1,597,284 = 1,597,284 : x
  2. Step 2: Convert to fraction form
    731,610/1,597,284 = 1,597,284/x
  3. Step 3: Cross multiply
    731,610x = 1,597,284 × 1,597,284
  4. Step 4: Simplify right side
    731,610x = 2,551,316,176,656
  5. Step 5: Solve for x
    x = 2,551,316,176,656/731,610
  6. Step 6: Final answer
    x = 3,487,262.58

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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.