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Finding the Third Proportional to 1,149,470 and 2,497,911

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Solution

The third proportional to 1,149,470 and 2,497,911 is: 5,428,205.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,149,470 : 2,497,911 = 2,497,911 : x
  2. Step 2: Convert to fraction form
    1,149,470/2,497,911 = 2,497,911/x
  3. Step 3: Cross multiply
    1,149,470x = 2,497,911 × 2,497,911
  4. Step 4: Simplify right side
    1,149,470x = 6,239,559,363,921
  5. Step 5: Solve for x
    x = 6,239,559,363,921/1,149,470
  6. Step 6: Final answer
    x = 5,428,205.49

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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.