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Finding the Third Proportional to 668,458 and 1,443,439

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Solution

The third proportional to 668,458 and 1,443,439 is: 3,116,899.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    668,458 : 1,443,439 = 1,443,439 : x
  2. Step 2: Convert to fraction form
    668,458/1,443,439 = 1,443,439/x
  3. Step 3: Cross multiply
    668,458x = 1,443,439 × 1,443,439
  4. Step 4: Simplify right side
    668,458x = 2,083,516,146,721
  5. Step 5: Solve for x
    x = 2,083,516,146,721/668,458
  6. Step 6: Final answer
    x = 3,116,899.11

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.