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Finding the Third Proportional to 515,151 and 1,106,478

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Solution

The third proportional to 515,151 and 1,106,478 is: 2,376,572.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,151 : 1,106,478 = 1,106,478 : x
  2. Step 2: Convert to fraction form
    515,151/1,106,478 = 1,106,478/x
  3. Step 3: Cross multiply
    515,151x = 1,106,478 × 1,106,478
  4. Step 4: Simplify right side
    515,151x = 1,224,293,564,484
  5. Step 5: Solve for x
    x = 1,224,293,564,484/515,151
  6. Step 6: Final answer
    x = 2,376,572.24

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.