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Finding the Third Proportional to 709,976 and 1,544,340

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Solution

The third proportional to 709,976 and 1,544,340 is: 3,359,248.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,976 : 1,544,340 = 1,544,340 : x
  2. Step 2: Convert to fraction form
    709,976/1,544,340 = 1,544,340/x
  3. Step 3: Cross multiply
    709,976x = 1,544,340 × 1,544,340
  4. Step 4: Simplify right side
    709,976x = 2,384,986,035,600
  5. Step 5: Solve for x
    x = 2,384,986,035,600/709,976
  6. Step 6: Final answer
    x = 3,359,248.81

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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.