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Finding the Third Proportional to 897,698 and 1,343,509

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Solution

The third proportional to 897,698 and 1,343,509 is: 2,010,716.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    897,698 : 1,343,509 = 1,343,509 : x
  2. Step 2: Convert to fraction form
    897,698/1,343,509 = 1,343,509/x
  3. Step 3: Cross multiply
    897,698x = 1,343,509 × 1,343,509
  4. Step 4: Simplify right side
    897,698x = 1,805,016,433,081
  5. Step 5: Solve for x
    x = 1,805,016,433,081/897,698
  6. Step 6: Final answer
    x = 2,010,716.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.