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Finding the Third Proportional to 478,395 and 1,025,478

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Solution

The third proportional to 478,395 and 1,025,478 is: 2,198,194.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,395 : 1,025,478 = 1,025,478 : x
  2. Step 2: Convert to fraction form
    478,395/1,025,478 = 1,025,478/x
  3. Step 3: Cross multiply
    478,395x = 1,025,478 × 1,025,478
  4. Step 4: Simplify right side
    478,395x = 1,051,605,128,484
  5. Step 5: Solve for x
    x = 1,051,605,128,484/478,395
  6. Step 6: Final answer
    x = 2,198,194.23

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.