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Finding the Third Proportional to 880,361 and 1,929,486

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Solution

The third proportional to 880,361 and 1,929,486 is: 4,228,851.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    880,361 : 1,929,486 = 1,929,486 : x
  2. Step 2: Convert to fraction form
    880,361/1,929,486 = 1,929,486/x
  3. Step 3: Cross multiply
    880,361x = 1,929,486 × 1,929,486
  4. Step 4: Simplify right side
    880,361x = 3,722,916,224,196
  5. Step 5: Solve for x
    x = 3,722,916,224,196/880,361
  6. Step 6: Final answer
    x = 4,228,851.83

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.