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Finding the Third Proportional to 738,678 and 1,157,103

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Solution

The third proportional to 738,678 and 1,157,103 is: 1,812,545.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    738,678 : 1,157,103 = 1,157,103 : x
  2. Step 2: Convert to fraction form
    738,678/1,157,103 = 1,157,103/x
  3. Step 3: Cross multiply
    738,678x = 1,157,103 × 1,157,103
  4. Step 4: Simplify right side
    738,678x = 1,338,887,352,609
  5. Step 5: Solve for x
    x = 1,338,887,352,609/738,678
  6. Step 6: Final answer
    x = 1,812,545.32

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.