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Finding the Third Proportional to 713,742 and 1,551,900

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Solution

The third proportional to 713,742 and 1,551,900 is: 3,374,319.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,742 : 1,551,900 = 1,551,900 : x
  2. Step 2: Convert to fraction form
    713,742/1,551,900 = 1,551,900/x
  3. Step 3: Cross multiply
    713,742x = 1,551,900 × 1,551,900
  4. Step 4: Simplify right side
    713,742x = 2,408,393,610,000
  5. Step 5: Solve for x
    x = 2,408,393,610,000/713,742
  6. Step 6: Final answer
    x = 3,374,319.59

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.