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Finding the Third Proportional to 1,016,281.50 and 1,496,345

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Solution

The third proportional to 1,016,281.50 and 1,496,345 is: 2,203,177.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,016,281.50 : 1,496,345 = 1,496,345 : x
  2. Step 2: Convert to fraction form
    1,016,281.50/1,496,345 = 1,496,345/x
  3. Step 3: Cross multiply
    1,016,281.50x = 1,496,345 × 1,496,345
  4. Step 4: Simplify right side
    1,016,281.50x = 2,239,048,359,025
  5. Step 5: Solve for x
    x = 2,239,048,359,025/1,016,281.50
  6. Step 6: Final answer
    x = 2,203,177.33

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.