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Finding the Third Proportional to 864,060.75 and 1,885,342.50

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Solution

The third proportional to 864,060.75 and 1,885,342.50 is: 4,113,734.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    864,060.75 : 1,885,342.50 = 1,885,342.50 : x
  2. Step 2: Convert to fraction form
    864,060.75/1,885,342.50 = 1,885,342.50/x
  3. Step 3: Cross multiply
    864,060.75x = 1,885,342.50 × 1,885,342.50
  4. Step 4: Simplify right side
    864,060.75x = 3,554,516,342,306.25
  5. Step 5: Solve for x
    x = 3,554,516,342,306.25/864,060.75
  6. Step 6: Final answer
    x = 4,113,734.30

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.