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Finding the Third Proportional to 847,422 and 1,817,478

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Solution

The third proportional to 847,422 and 1,817,478 is: 3,897,970.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    847,422 : 1,817,478 = 1,817,478 : x
  2. Step 2: Convert to fraction form
    847,422/1,817,478 = 1,817,478/x
  3. Step 3: Cross multiply
    847,422x = 1,817,478 × 1,817,478
  4. Step 4: Simplify right side
    847,422x = 3,303,226,280,484
  5. Step 5: Solve for x
    x = 3,303,226,280,484/847,422
  6. Step 6: Final answer
    x = 3,897,970.88

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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.