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Finding the Third Proportional to 931,872 and 2,016,078

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Solution

The third proportional to 931,872 and 2,016,078 is: 4,361,726.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    931,872 : 2,016,078 = 2,016,078 : x
  2. Step 2: Convert to fraction form
    931,872/2,016,078 = 2,016,078/x
  3. Step 3: Cross multiply
    931,872x = 2,016,078 × 2,016,078
  4. Step 4: Simplify right side
    931,872x = 4,064,570,502,084
  5. Step 5: Solve for x
    x = 4,064,570,502,084/931,872
  6. Step 6: Final answer
    x = 4,361,726.18

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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.