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Finding the Third Proportional to 1,335,098.81 and 2,068,616.81

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Solution

The third proportional to 1,335,098.81 and 2,068,616.81 is: 3,205,137.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,335,098.81 : 2,068,616.81 = 2,068,616.81 : x
  2. Step 2: Convert to fraction form
    1,335,098.81/2,068,616.81 = 2,068,616.81/x
  3. Step 3: Cross multiply
    1,335,098.81x = 2,068,616.81 × 2,068,616.81
  4. Step 4: Simplify right side
    1,335,098.81x = 4,279,175,516,957.66
  5. Step 5: Solve for x
    x = 4,279,175,516,957.66/1,335,098.81
  6. Step 6: Final answer
    x = 3,205,137.68

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.