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Finding the Third Proportional to 1,016,515.50 and 1,490,823

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Solution

The third proportional to 1,016,515.50 and 1,490,823 is: 2,186,443.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,016,515.50 : 1,490,823 = 1,490,823 : x
  2. Step 2: Convert to fraction form
    1,016,515.50/1,490,823 = 1,490,823/x
  3. Step 3: Cross multiply
    1,016,515.50x = 1,490,823 × 1,490,823
  4. Step 4: Simplify right side
    1,016,515.50x = 2,222,553,217,329
  5. Step 5: Solve for x
    x = 2,222,553,217,329/1,016,515.50
  6. Step 6: Final answer
    x = 2,186,443.02

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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.