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Finding the Third Proportional to 822,607.13 and 1,271,251.13

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Solution

The third proportional to 822,607.13 and 1,271,251.13 is: 1,964,582.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    822,607.13 : 1,271,251.13 = 1,271,251.13 : x
  2. Step 2: Convert to fraction form
    822,607.13/1,271,251.13 = 1,271,251.13/x
  3. Step 3: Cross multiply
    822,607.13x = 1,271,251.13 × 1,271,251.13
  4. Step 4: Simplify right side
    822,607.13x = 1,616,079,422,813.77
  5. Step 5: Solve for x
    x = 1,616,079,422,813.77/822,607.13
  6. Step 6: Final answer
    x = 1,964,582.33

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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.