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Finding the Third Proportional to 611,911.13 and 860,182.88

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Solution

The third proportional to 611,911.13 and 860,182.88 is: 1,209,186.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,911.13 : 860,182.88 = 860,182.88 : x
  2. Step 2: Convert to fraction form
    611,911.13/860,182.88 = 860,182.88/x
  3. Step 3: Cross multiply
    611,911.13x = 860,182.88 × 860,182.88
  4. Step 4: Simplify right side
    611,911.13x = 739,914,578,443.27
  5. Step 5: Solve for x
    x = 739,914,578,443.27/611,911.13
  6. Step 6: Final answer
    x = 1,209,186.35

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.