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Finding the Third Proportional to 813,681 and 1,772,016

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Solution

The third proportional to 813,681 and 1,772,016 is: 3,859,056.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    813,681 : 1,772,016 = 1,772,016 : x
  2. Step 2: Convert to fraction form
    813,681/1,772,016 = 1,772,016/x
  3. Step 3: Cross multiply
    813,681x = 1,772,016 × 1,772,016
  4. Step 4: Simplify right side
    813,681x = 3,140,040,704,256
  5. Step 5: Solve for x
    x = 3,140,040,704,256/813,681
  6. Step 6: Final answer
    x = 3,859,056.20

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.