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Finding the Third Proportional to 457,776 and 996,899

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Solution

The third proportional to 457,776 and 996,899 is: 2,170,947.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,776 : 996,899 = 996,899 : x
  2. Step 2: Convert to fraction form
    457,776/996,899 = 996,899/x
  3. Step 3: Cross multiply
    457,776x = 996,899 × 996,899
  4. Step 4: Simplify right side
    457,776x = 993,807,616,201
  5. Step 5: Solve for x
    x = 993,807,616,201/457,776
  6. Step 6: Final answer
    x = 2,170,947.40

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.