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Finding the Third Proportional to 742,519 and 1,158,126

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Solution

The third proportional to 742,519 and 1,158,126 is: 1,806,358.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    742,519 : 1,158,126 = 1,158,126 : x
  2. Step 2: Convert to fraction form
    742,519/1,158,126 = 1,158,126/x
  3. Step 3: Cross multiply
    742,519x = 1,158,126 × 1,158,126
  4. Step 4: Simplify right side
    742,519x = 1,341,255,831,876
  5. Step 5: Solve for x
    x = 1,341,255,831,876/742,519
  6. Step 6: Final answer
    x = 1,806,358.94

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.