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Finding the Third Proportional to 738,102 and 1,103,301

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Solution

The third proportional to 738,102 and 1,103,301 is: 1,649,193.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    738,102 : 1,103,301 = 1,103,301 : x
  2. Step 2: Convert to fraction form
    738,102/1,103,301 = 1,103,301/x
  3. Step 3: Cross multiply
    738,102x = 1,103,301 × 1,103,301
  4. Step 4: Simplify right side
    738,102x = 1,217,273,096,601
  5. Step 5: Solve for x
    x = 1,217,273,096,601/738,102
  6. Step 6: Final answer
    x = 1,649,193.60

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.