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Finding the Third Proportional to 996,947 and 1,462,108

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Solution

The third proportional to 996,947 and 1,462,108 is: 2,144,306.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    996,947 : 1,462,108 = 1,462,108 : x
  2. Step 2: Convert to fraction form
    996,947/1,462,108 = 1,462,108/x
  3. Step 3: Cross multiply
    996,947x = 1,462,108 × 1,462,108
  4. Step 4: Simplify right side
    996,947x = 2,137,759,803,664
  5. Step 5: Solve for x
    x = 2,137,759,803,664/996,947
  6. Step 6: Final answer
    x = 2,144,306.37

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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.