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Finding the Third Proportional to 450,634 and 913,700

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Solution

The third proportional to 450,634 and 913,700 is: 1,852,606.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,634 : 913,700 = 913,700 : x
  2. Step 2: Convert to fraction form
    450,634/913,700 = 913,700/x
  3. Step 3: Cross multiply
    450,634x = 913,700 × 913,700
  4. Step 4: Simplify right side
    450,634x = 834,847,690,000
  5. Step 5: Solve for x
    x = 834,847,690,000/450,634
  6. Step 6: Final answer
    x = 1,852,606.97

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.