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Finding the Third Proportional to 847,258 and 1,862,432

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Solution

The third proportional to 847,258 and 1,862,432 is: 4,093,974.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    847,258 : 1,862,432 = 1,862,432 : x
  2. Step 2: Convert to fraction form
    847,258/1,862,432 = 1,862,432/x
  3. Step 3: Cross multiply
    847,258x = 1,862,432 × 1,862,432
  4. Step 4: Simplify right side
    847,258x = 3,468,652,954,624
  5. Step 5: Solve for x
    x = 3,468,652,954,624/847,258
  6. Step 6: Final answer
    x = 4,093,974.86

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.