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Finding the Third Proportional to 709,858.69 and 1,539,488.53

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Solution

The third proportional to 709,858.69 and 1,539,488.53 is: 3,338,727.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,858.69 : 1,539,488.53 = 1,539,488.53 : x
  2. Step 2: Convert to fraction form
    709,858.69/1,539,488.53 = 1,539,488.53/x
  3. Step 3: Cross multiply
    709,858.69x = 1,539,488.53 × 1,539,488.53
  4. Step 4: Simplify right side
    709,858.69x = 2,370,024,937,850.28
  5. Step 5: Solve for x
    x = 2,370,024,937,850.28/709,858.69
  6. Step 6: Final answer
    x = 3,338,727.81

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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.