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Finding the Third Proportional to 462,114 and 992,988

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Solution

The third proportional to 462,114 and 992,988 is: 2,133,727.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,114 : 992,988 = 992,988 : x
  2. Step 2: Convert to fraction form
    462,114/992,988 = 992,988/x
  3. Step 3: Cross multiply
    462,114x = 992,988 × 992,988
  4. Step 4: Simplify right side
    462,114x = 986,025,168,144
  5. Step 5: Solve for x
    x = 986,025,168,144/462,114
  6. Step 6: Final answer
    x = 2,133,727.11

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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.