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Finding the Third Proportional to 865,459.50 and 2,246,682

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Solution

The third proportional to 865,459.50 and 2,246,682 is: 5,832,254.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    865,459.50 : 2,246,682 = 2,246,682 : x
  2. Step 2: Convert to fraction form
    865,459.50/2,246,682 = 2,246,682/x
  3. Step 3: Cross multiply
    865,459.50x = 2,246,682 × 2,246,682
  4. Step 4: Simplify right side
    865,459.50x = 5,047,580,009,124
  5. Step 5: Solve for x
    x = 5,047,580,009,124/865,459.50
  6. Step 6: Final answer
    x = 5,832,254.44

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Why These Related Problems?

These problems maintain the same ratio (2.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.