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Finding the Third Proportional to 678,442 and 996,919

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Solution

The third proportional to 678,442 and 996,919 is: 1,464,896.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,442 : 996,919 = 996,919 : x
  2. Step 2: Convert to fraction form
    678,442/996,919 = 996,919/x
  3. Step 3: Cross multiply
    678,442x = 996,919 × 996,919
  4. Step 4: Simplify right side
    678,442x = 993,847,492,561
  5. Step 5: Solve for x
    x = 993,847,492,561/678,442
  6. Step 6: Final answer
    x = 1,464,896.77

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.