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Finding the Third Proportional to 762,262.31 and 1,657,379.81

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Solution

The third proportional to 762,262.31 and 1,657,379.81 is: 3,603,625.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    762,262.31 : 1,657,379.81 = 1,657,379.81 : x
  2. Step 2: Convert to fraction form
    762,262.31/1,657,379.81 = 1,657,379.81/x
  3. Step 3: Cross multiply
    762,262.31x = 1,657,379.81 × 1,657,379.81
  4. Step 4: Simplify right side
    762,262.31x = 2,746,907,842,882.54
  5. Step 5: Solve for x
    x = 2,746,907,842,882.54/762,262.31
  6. Step 6: Final answer
    x = 3,603,625.42

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.