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Finding the Third Proportional to 568,290 and 947,022

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Solution

The third proportional to 568,290 and 947,022 is: 1,578,156.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,290 : 947,022 = 947,022 : x
  2. Step 2: Convert to fraction form
    568,290/947,022 = 947,022/x
  3. Step 3: Cross multiply
    568,290x = 947,022 × 947,022
  4. Step 4: Simplify right side
    568,290x = 896,850,668,484
  5. Step 5: Solve for x
    x = 896,850,668,484/568,290
  6. Step 6: Final answer
    x = 1,578,156.70

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.