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Finding the Third Proportional to 1,398,343.50 and 2,116,423.69

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Solution

The third proportional to 1,398,343.50 and 2,116,423.69 is: 3,203,253.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,398,343.50 : 2,116,423.69 = 2,116,423.69 : x
  2. Step 2: Convert to fraction form
    1,398,343.50/2,116,423.69 = 2,116,423.69/x
  3. Step 3: Cross multiply
    1,398,343.50x = 2,116,423.69 × 2,116,423.69
  4. Step 4: Simplify right side
    1,398,343.50x = 4,479,249,225,011.10
  5. Step 5: Solve for x
    x = 4,479,249,225,011.10/1,398,343.50
  6. Step 6: Final answer
    x = 3,203,253.87

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.