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Finding the Third Proportional to 826,626 and 1,169,995.50

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Solution

The third proportional to 826,626 and 1,169,995.50 is: 1,655,996.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    826,626 : 1,169,995.50 = 1,169,995.50 : x
  2. Step 2: Convert to fraction form
    826,626/1,169,995.50 = 1,169,995.50/x
  3. Step 3: Cross multiply
    826,626x = 1,169,995.50 × 1,169,995.50
  4. Step 4: Simplify right side
    826,626x = 1,368,889,470,020.25
  5. Step 5: Solve for x
    x = 1,368,889,470,020.25/826,626
  6. Step 6: Final answer
    x = 1,655,996.15

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.