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Finding the Third Proportional to 653,673.80 and 1,423,096.28

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Solution

The third proportional to 653,673.80 and 1,423,096.28 is: 3,098,186.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,673.80 : 1,423,096.28 = 1,423,096.28 : x
  2. Step 2: Convert to fraction form
    653,673.80/1,423,096.28 = 1,423,096.28/x
  3. Step 3: Cross multiply
    653,673.80x = 1,423,096.28 × 1,423,096.28
  4. Step 4: Simplify right side
    653,673.80x = 2,025,203,014,589.78
  5. Step 5: Solve for x
    x = 2,025,203,014,589.78/653,673.80
  6. Step 6: Final answer
    x = 3,098,186.01

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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.