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Finding the Third Proportional to 709,872 and 1,539,518

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Solution

The third proportional to 709,872 and 1,539,518 is: 3,338,793.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,872 : 1,539,518 = 1,539,518 : x
  2. Step 2: Convert to fraction form
    709,872/1,539,518 = 1,539,518/x
  3. Step 3: Cross multiply
    709,872x = 1,539,518 × 1,539,518
  4. Step 4: Simplify right side
    709,872x = 2,370,115,672,324
  5. Step 5: Solve for x
    x = 2,370,115,672,324/709,872
  6. Step 6: Final answer
    x = 3,338,793.01

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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.