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Finding the Third Proportional to 840,564 and 1,799,217

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Solution

The third proportional to 840,564 and 1,799,217 is: 3,851,202.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    840,564 : 1,799,217 = 1,799,217 : x
  2. Step 2: Convert to fraction form
    840,564/1,799,217 = 1,799,217/x
  3. Step 3: Cross multiply
    840,564x = 1,799,217 × 1,799,217
  4. Step 4: Simplify right side
    840,564x = 3,237,181,813,089
  5. Step 5: Solve for x
    x = 3,237,181,813,089/840,564
  6. Step 6: Final answer
    x = 3,851,202.07

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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.