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Finding the Third Proportional to 981,566 and 2,103,100

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Solution

The third proportional to 981,566 and 2,103,100 is: 4,506,094.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    981,566 : 2,103,100 = 2,103,100 : x
  2. Step 2: Convert to fraction form
    981,566/2,103,100 = 2,103,100/x
  3. Step 3: Cross multiply
    981,566x = 2,103,100 × 2,103,100
  4. Step 4: Simplify right side
    981,566x = 4,423,029,610,000
  5. Step 5: Solve for x
    x = 4,423,029,610,000/981,566
  6. Step 6: Final answer
    x = 4,506,094.96

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.