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Finding the Third Proportional to 484,678.69 and 1,035,331.88

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Solution

The third proportional to 484,678.69 and 1,035,331.88 is: 2,211,593.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,678.69 : 1,035,331.88 = 1,035,331.88 : x
  2. Step 2: Convert to fraction form
    484,678.69/1,035,331.88 = 1,035,331.88/x
  3. Step 3: Cross multiply
    484,678.69x = 1,035,331.88 × 1,035,331.88
  4. Step 4: Simplify right side
    484,678.69x = 1,071,912,091,391.02
  5. Step 5: Solve for x
    x = 1,071,912,091,391.02/484,678.69
  6. Step 6: Final answer
    x = 2,211,593.20

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.