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Finding the Third Proportional to 2,254,374 and 4,587,478

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Solution

The third proportional to 2,254,374 and 4,587,478 is: 9,335,165.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,254,374 : 4,587,478 = 4,587,478 : x
  2. Step 2: Convert to fraction form
    2,254,374/4,587,478 = 4,587,478/x
  3. Step 3: Cross multiply
    2,254,374x = 4,587,478 × 4,587,478
  4. Step 4: Simplify right side
    2,254,374x = 21,044,954,400,484
  5. Step 5: Solve for x
    x = 21,044,954,400,484/2,254,374
  6. Step 6: Final answer
    x = 9,335,165.51

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.