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Finding the Third Proportional to 663,530 and 1,421,602

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Solution

The third proportional to 663,530 and 1,421,602 is: 3,045,758.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    663,530 : 1,421,602 = 1,421,602 : x
  2. Step 2: Convert to fraction form
    663,530/1,421,602 = 1,421,602/x
  3. Step 3: Cross multiply
    663,530x = 1,421,602 × 1,421,602
  4. Step 4: Simplify right side
    663,530x = 2,020,952,246,404
  5. Step 5: Solve for x
    x = 2,020,952,246,404/663,530
  6. Step 6: Final answer
    x = 3,045,758.66

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.