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Finding the Third Proportional to 996,340.50 and 1,586,144.25

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Solution

The third proportional to 996,340.50 and 1,586,144.25 is: 2,525,094.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    996,340.50 : 1,586,144.25 = 1,586,144.25 : x
  2. Step 2: Convert to fraction form
    996,340.50/1,586,144.25 = 1,586,144.25/x
  3. Step 3: Cross multiply
    996,340.50x = 1,586,144.25 × 1,586,144.25
  4. Step 4: Simplify right side
    996,340.50x = 2,515,853,581,808.06
  5. Step 5: Solve for x
    x = 2,515,853,581,808.06/996,340.50
  6. Step 6: Final answer
    x = 2,525,094.16

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.