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Finding the Third Proportional to 2,407,948.50 and 3,532,098

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Solution

The third proportional to 2,407,948.50 and 3,532,098 is: 5,181,056.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,407,948.50 : 3,532,098 = 3,532,098 : x
  2. Step 2: Convert to fraction form
    2,407,948.50/3,532,098 = 3,532,098/x
  3. Step 3: Cross multiply
    2,407,948.50x = 3,532,098 × 3,532,098
  4. Step 4: Simplify right side
    2,407,948.50x = 12,475,716,281,604
  5. Step 5: Solve for x
    x = 12,475,716,281,604/2,407,948.50
  6. Step 6: Final answer
    x = 5,181,056.11

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.