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Finding the Third Proportional to 572,107 and 1,258,472

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Solution

The third proportional to 572,107 and 1,258,472 is: 2,768,278.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    572,107 : 1,258,472 = 1,258,472 : x
  2. Step 2: Convert to fraction form
    572,107/1,258,472 = 1,258,472/x
  3. Step 3: Cross multiply
    572,107x = 1,258,472 × 1,258,472
  4. Step 4: Simplify right side
    572,107x = 1,583,751,774,784
  5. Step 5: Solve for x
    x = 1,583,751,774,784/572,107
  6. Step 6: Final answer
    x = 2,768,278.97

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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.