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Finding the Third Proportional to 657,210 and 992,922.75

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Solution

The third proportional to 657,210 and 992,922.75 is: 1,500,122.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,210 : 992,922.75 = 992,922.75 : x
  2. Step 2: Convert to fraction form
    657,210/992,922.75 = 992,922.75/x
  3. Step 3: Cross multiply
    657,210x = 992,922.75 × 992,922.75
  4. Step 4: Simplify right side
    657,210x = 985,895,587,467.56
  5. Step 5: Solve for x
    x = 985,895,587,467.56/657,210
  6. Step 6: Final answer
    x = 1,500,122.62

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.