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Finding the Third Proportional to 648,154.41 and 933,689.53

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Solution

The third proportional to 648,154.41 and 933,689.53 is: 1,345,013.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,154.41 : 933,689.53 = 933,689.53 : x
  2. Step 2: Convert to fraction form
    648,154.41/933,689.53 = 933,689.53/x
  3. Step 3: Cross multiply
    648,154.41x = 933,689.53 × 933,689.53
  4. Step 4: Simplify right side
    648,154.41x = 871,776,140,765.85
  5. Step 5: Solve for x
    x = 871,776,140,765.85/648,154.41
  6. Step 6: Final answer
    x = 1,345,013.06

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.