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Finding the Third Proportional to 653,472.94 and 1,423,208.72

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Solution

The third proportional to 653,472.94 and 1,423,208.72 is: 3,099,628.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,472.94 : 1,423,208.72 = 1,423,208.72 : x
  2. Step 2: Convert to fraction form
    653,472.94/1,423,208.72 = 1,423,208.72/x
  3. Step 3: Cross multiply
    653,472.94x = 1,423,208.72 × 1,423,208.72
  4. Step 4: Simplify right side
    653,472.94x = 2,025,523,057,126.02
  5. Step 5: Solve for x
    x = 2,025,523,057,126.02/653,472.94
  6. Step 6: Final answer
    x = 3,099,628.07

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