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Finding the Third Proportional to 738,534 and 1,603,114

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Solution

The third proportional to 738,534 and 1,603,114 is: 3,479,832.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    738,534 : 1,603,114 = 1,603,114 : x
  2. Step 2: Convert to fraction form
    738,534/1,603,114 = 1,603,114/x
  3. Step 3: Cross multiply
    738,534x = 1,603,114 × 1,603,114
  4. Step 4: Simplify right side
    738,534x = 2,569,974,496,996
  5. Step 5: Solve for x
    x = 2,569,974,496,996/738,534
  6. Step 6: Final answer
    x = 3,479,832.34

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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.