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Finding the Third Proportional to 709,214 and 1,536,580

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Solution

The third proportional to 709,214 and 1,536,580 is: 3,329,147.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,214 : 1,536,580 = 1,536,580 : x
  2. Step 2: Convert to fraction form
    709,214/1,536,580 = 1,536,580/x
  3. Step 3: Cross multiply
    709,214x = 1,536,580 × 1,536,580
  4. Step 4: Simplify right side
    709,214x = 2,361,078,096,400
  5. Step 5: Solve for x
    x = 2,361,078,096,400/709,214
  6. Step 6: Final answer
    x = 3,329,147.61

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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.