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Finding the Third Proportional to 568,484 and 1,215,742

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Solution

The third proportional to 568,484 and 1,215,742 is: 2,599,947.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,484 : 1,215,742 = 1,215,742 : x
  2. Step 2: Convert to fraction form
    568,484/1,215,742 = 1,215,742/x
  3. Step 3: Cross multiply
    568,484x = 1,215,742 × 1,215,742
  4. Step 4: Simplify right side
    568,484x = 1,478,028,610,564
  5. Step 5: Solve for x
    x = 1,478,028,610,564/568,484
  6. Step 6: Final answer
    x = 2,599,947.60

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.