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Finding the Third Proportional to 711,338.84 and 1,084,734.91

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Solution

The third proportional to 711,338.84 and 1,084,734.91 is: 1,654,134.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    711,338.84 : 1,084,734.91 = 1,084,734.91 : x
  2. Step 2: Convert to fraction form
    711,338.84/1,084,734.91 = 1,084,734.91/x
  3. Step 3: Cross multiply
    711,338.84x = 1,084,734.91 × 1,084,734.91
  4. Step 4: Simplify right side
    711,338.84x = 1,176,649,833,786.18
  5. Step 5: Solve for x
    x = 1,176,649,833,786.18/711,338.84
  6. Step 6: Final answer
    x = 1,654,134.11

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.