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Finding the Third Proportional to 996,948 and 1,462,107

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Solution

The third proportional to 996,948 and 1,462,107 is: 2,144,301.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    996,948 : 1,462,107 = 1,462,107 : x
  2. Step 2: Convert to fraction form
    996,948/1,462,107 = 1,462,107/x
  3. Step 3: Cross multiply
    996,948x = 1,462,107 × 1,462,107
  4. Step 4: Simplify right side
    996,948x = 2,137,756,879,449
  5. Step 5: Solve for x
    x = 2,137,756,879,449/996,948
  6. Step 6: Final answer
    x = 2,144,301.29

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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.