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Finding the Third Proportional to 738,326 and 1,156,703

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Solution

The third proportional to 738,326 and 1,156,703 is: 1,812,155.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    738,326 : 1,156,703 = 1,156,703 : x
  2. Step 2: Convert to fraction form
    738,326/1,156,703 = 1,156,703/x
  3. Step 3: Cross multiply
    738,326x = 1,156,703 × 1,156,703
  4. Step 4: Simplify right side
    738,326x = 1,337,961,830,209
  5. Step 5: Solve for x
    x = 1,337,961,830,209/738,326
  6. Step 6: Final answer
    x = 1,812,155.92

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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.