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Finding the Third Proportional to 709,947 and 1,544,286

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Solution

The third proportional to 709,947 and 1,544,286 is: 3,359,151.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,947 : 1,544,286 = 1,544,286 : x
  2. Step 2: Convert to fraction form
    709,947/1,544,286 = 1,544,286/x
  3. Step 3: Cross multiply
    709,947x = 1,544,286 × 1,544,286
  4. Step 4: Simplify right side
    709,947x = 2,384,819,249,796
  5. Step 5: Solve for x
    x = 2,384,819,249,796/709,947
  6. Step 6: Final answer
    x = 3,359,151.11

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.