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Finding the Third Proportional to 462,110 and 992,980

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Solution

The third proportional to 462,110 and 992,980 is: 2,133,711.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,110 : 992,980 = 992,980 : x
  2. Step 2: Convert to fraction form
    462,110/992,980 = 992,980/x
  3. Step 3: Cross multiply
    462,110x = 992,980 × 992,980
  4. Step 4: Simplify right side
    462,110x = 986,009,280,400
  5. Step 5: Solve for x
    x = 986,009,280,400/462,110
  6. Step 6: Final answer
    x = 2,133,711.20

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.