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Finding the Third Proportional to 572,110 and 1,258,478

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Solution

The third proportional to 572,110 and 1,258,478 is: 2,768,290.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    572,110 : 1,258,478 = 1,258,478 : x
  2. Step 2: Convert to fraction form
    572,110/1,258,478 = 1,258,478/x
  3. Step 3: Cross multiply
    572,110x = 1,258,478 × 1,258,478
  4. Step 4: Simplify right side
    572,110x = 1,583,766,876,484
  5. Step 5: Solve for x
    x = 1,583,766,876,484/572,110
  6. Step 6: Final answer
    x = 2,768,290.85

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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.