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Finding the Third Proportional to 1,478,404 and 2,161,478

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Solution

The third proportional to 1,478,404 and 2,161,478 is: 3,160,155.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,478,404 : 2,161,478 = 2,161,478 : x
  2. Step 2: Convert to fraction form
    1,478,404/2,161,478 = 2,161,478/x
  3. Step 3: Cross multiply
    1,478,404x = 2,161,478 × 2,161,478
  4. Step 4: Simplify right side
    1,478,404x = 4,671,987,144,484
  5. Step 5: Solve for x
    x = 4,671,987,144,484/1,478,404
  6. Step 6: Final answer
    x = 3,160,155.91

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.