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Finding the Third Proportional to 465,968 and 992,984

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Solution

The third proportional to 465,968 and 992,984 is: 2,116,062.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,968 : 992,984 = 992,984 : x
  2. Step 2: Convert to fraction form
    465,968/992,984 = 992,984/x
  3. Step 3: Cross multiply
    465,968x = 992,984 × 992,984
  4. Step 4: Simplify right side
    465,968x = 986,017,224,256
  5. Step 5: Solve for x
    x = 986,017,224,256/465,968
  6. Step 6: Final answer
    x = 2,116,062.10

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.