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Finding the Third Proportional to 663,935 and 1,005,921

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Solution

The third proportional to 663,935 and 1,005,921 is: 1,524,060.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    663,935 : 1,005,921 = 1,005,921 : x
  2. Step 2: Convert to fraction form
    663,935/1,005,921 = 1,005,921/x
  3. Step 3: Cross multiply
    663,935x = 1,005,921 × 1,005,921
  4. Step 4: Simplify right side
    663,935x = 1,011,877,058,241
  5. Step 5: Solve for x
    x = 1,011,877,058,241/663,935
  6. Step 6: Final answer
    x = 1,524,060.42

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.