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Finding the Third Proportional to 462,112 and 992,984

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Solution

The third proportional to 462,112 and 992,984 is: 2,133,719.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,112 : 992,984 = 992,984 : x
  2. Step 2: Convert to fraction form
    462,112/992,984 = 992,984/x
  3. Step 3: Cross multiply
    462,112x = 992,984 × 992,984
  4. Step 4: Simplify right side
    462,112x = 986,017,224,256
  5. Step 5: Solve for x
    x = 986,017,224,256/462,112
  6. Step 6: Final answer
    x = 2,133,719.15

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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.