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Finding the Third Proportional to 611,074.13 and 897,882.47

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Solution

The third proportional to 611,074.13 and 897,882.47 is: 1,319,304.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,074.13 : 897,882.47 = 897,882.47 : x
  2. Step 2: Convert to fraction form
    611,074.13/897,882.47 = 897,882.47/x
  3. Step 3: Cross multiply
    611,074.13x = 897,882.47 × 897,882.47
  4. Step 4: Simplify right side
    611,074.13x = 806,192,927,688.60
  5. Step 5: Solve for x
    x = 806,192,927,688.60/611,074.13
  6. Step 6: Final answer
    x = 1,319,304.64

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.