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Finding the Third Proportional to 649,338 and 1,423,208

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Solution

The third proportional to 649,338 and 1,423,208 is: 3,119,363.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,338 : 1,423,208 = 1,423,208 : x
  2. Step 2: Convert to fraction form
    649,338/1,423,208 = 1,423,208/x
  3. Step 3: Cross multiply
    649,338x = 1,423,208 × 1,423,208
  4. Step 4: Simplify right side
    649,338x = 2,025,521,011,264
  5. Step 5: Solve for x
    x = 2,025,521,011,264/649,338
  6. Step 6: Final answer
    x = 3,119,363.12

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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.