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Finding the Third Proportional to 981,574 and 2,103,116

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Solution

The third proportional to 981,574 and 2,103,116 is: 4,506,126.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    981,574 : 2,103,116 = 2,103,116 : x
  2. Step 2: Convert to fraction form
    981,574/2,103,116 = 2,103,116/x
  3. Step 3: Cross multiply
    981,574x = 2,103,116 × 2,103,116
  4. Step 4: Simplify right side
    981,574x = 4,423,096,909,456
  5. Step 5: Solve for x
    x = 4,423,096,909,456/981,574
  6. Step 6: Final answer
    x = 4,506,126.80

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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.