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Finding the Third Proportional to 642,406.50 and 1,428,435

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Solution

The third proportional to 642,406.50 and 1,428,435 is: 3,176,223.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,406.50 : 1,428,435 = 1,428,435 : x
  2. Step 2: Convert to fraction form
    642,406.50/1,428,435 = 1,428,435/x
  3. Step 3: Cross multiply
    642,406.50x = 1,428,435 × 1,428,435
  4. Step 4: Simplify right side
    642,406.50x = 2,040,426,549,225
  5. Step 5: Solve for x
    x = 2,040,426,549,225/642,406.50
  6. Step 6: Final answer
    x = 3,176,223.39

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.