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Finding the Third Proportional to 663,000.19 and 1,447,444.69

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Solution

The third proportional to 663,000.19 and 1,447,444.69 is: 3,160,023.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    663,000.19 : 1,447,444.69 = 1,447,444.69 : x
  2. Step 2: Convert to fraction form
    663,000.19/1,447,444.69 = 1,447,444.69/x
  3. Step 3: Cross multiply
    663,000.19x = 1,447,444.69 × 1,447,444.69
  4. Step 4: Simplify right side
    663,000.19x = 2,095,096,123,371.97
  5. Step 5: Solve for x
    x = 2,095,096,123,371.97/663,000.19
  6. Step 6: Final answer
    x = 3,160,023.43

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.