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Finding the Third Proportional to 709,439 and 1,556,849

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Solution

The third proportional to 709,439 and 1,556,849 is: 3,416,472.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,439 : 1,556,849 = 1,556,849 : x
  2. Step 2: Convert to fraction form
    709,439/1,556,849 = 1,556,849/x
  3. Step 3: Cross multiply
    709,439x = 1,556,849 × 1,556,849
  4. Step 4: Simplify right side
    709,439x = 2,423,778,808,801
  5. Step 5: Solve for x
    x = 2,423,778,808,801/709,439
  6. Step 6: Final answer
    x = 3,416,472.46

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.