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Finding the Third Proportional to 651,856.36 and 992,964.45

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Solution

The third proportional to 651,856.36 and 992,964.45 is: 1,512,570.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,856.36 : 992,964.45 = 992,964.45 : x
  2. Step 2: Convert to fraction form
    651,856.36/992,964.45 = 992,964.45/x
  3. Step 3: Cross multiply
    651,856.36x = 992,964.45 × 992,964.45
  4. Step 4: Simplify right side
    651,856.36x = 985,978,389,654.76
  5. Step 5: Solve for x
    x = 985,978,389,654.76/651,856.36
  6. Step 6: Final answer
    x = 1,512,570.02

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.