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Finding the Third Proportional to 649,334 and 1,423,200

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Solution

The third proportional to 649,334 and 1,423,200 is: 3,119,347.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,334 : 1,423,200 = 1,423,200 : x
  2. Step 2: Convert to fraction form
    649,334/1,423,200 = 1,423,200/x
  3. Step 3: Cross multiply
    649,334x = 1,423,200 × 1,423,200
  4. Step 4: Simplify right side
    649,334x = 2,025,498,240,000
  5. Step 5: Solve for x
    x = 2,025,498,240,000/649,334
  6. Step 6: Final answer
    x = 3,119,347.27

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.