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Finding the Third Proportional to 476,792 and 992,776

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Solution

The third proportional to 476,792 and 992,776 is: 2,067,157.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,792 : 992,776 = 992,776 : x
  2. Step 2: Convert to fraction form
    476,792/992,776 = 992,776/x
  3. Step 3: Cross multiply
    476,792x = 992,776 × 992,776
  4. Step 4: Simplify right side
    476,792x = 985,604,186,176
  5. Step 5: Solve for x
    x = 985,604,186,176/476,792
  6. Step 6: Final answer
    x = 2,067,157.56

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.