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Finding the Third Proportional to 1,833,715.13 and 3,982,473

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Solution

The third proportional to 1,833,715.13 and 3,982,473 is: 8,649,157.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,833,715.13 : 3,982,473 = 3,982,473 : x
  2. Step 2: Convert to fraction form
    1,833,715.13/3,982,473 = 3,982,473/x
  3. Step 3: Cross multiply
    1,833,715.13x = 3,982,473 × 3,982,473
  4. Step 4: Simplify right side
    1,833,715.13x = 15,860,091,195,729
  5. Step 5: Solve for x
    x = 15,860,091,195,729/1,833,715.13
  6. Step 6: Final answer
    x = 8,649,157.65

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.