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Finding the Third Proportional to 674,216 and 1,448,487

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Solution

The third proportional to 674,216 and 1,448,487 is: 3,111,932.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    674,216 : 1,448,487 = 1,448,487 : x
  2. Step 2: Convert to fraction form
    674,216/1,448,487 = 1,448,487/x
  3. Step 3: Cross multiply
    674,216x = 1,448,487 × 1,448,487
  4. Step 4: Simplify right side
    674,216x = 2,098,114,589,169
  5. Step 5: Solve for x
    x = 2,098,114,589,169/674,216
  6. Step 6: Final answer
    x = 3,111,932.36

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.