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Finding the Third Proportional to 785,896.50 and 1,182,738

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Solution

The third proportional to 785,896.50 and 1,182,738 is: 1,779,966.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    785,896.50 : 1,182,738 = 1,182,738 : x
  2. Step 2: Convert to fraction form
    785,896.50/1,182,738 = 1,182,738/x
  3. Step 3: Cross multiply
    785,896.50x = 1,182,738 × 1,182,738
  4. Step 4: Simplify right side
    785,896.50x = 1,398,869,176,644
  5. Step 5: Solve for x
    x = 1,398,869,176,644/785,896.50
  6. Step 6: Final answer
    x = 1,779,966.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.