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Finding the Third Proportional to 663,258.38 and 1,432,409.06

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Solution

The third proportional to 663,258.38 and 1,432,409.06 is: 3,093,508.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    663,258.38 : 1,432,409.06 = 1,432,409.06 : x
  2. Step 2: Convert to fraction form
    663,258.38/1,432,409.06 = 1,432,409.06/x
  3. Step 3: Cross multiply
    663,258.38x = 1,432,409.06 × 1,432,409.06
  4. Step 4: Simplify right side
    663,258.38x = 2,051,795,722,332.13
  5. Step 5: Solve for x
    x = 2,051,795,722,332.13/663,258.38
  6. Step 6: Final answer
    x = 3,093,508.95

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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.