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Finding the Third Proportional to 1,289,623.78 and 2,732,869.13

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Solution

The third proportional to 1,289,623.78 and 2,732,869.13 is: 5,791,280.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,289,623.78 : 2,732,869.13 = 2,732,869.13 : x
  2. Step 2: Convert to fraction form
    1,289,623.78/2,732,869.13 = 2,732,869.13/x
  3. Step 3: Cross multiply
    1,289,623.78x = 2,732,869.13 × 2,732,869.13
  4. Step 4: Simplify right side
    1,289,623.78x = 7,468,573,654,378.27
  5. Step 5: Solve for x
    x = 7,468,573,654,378.27/1,289,623.78
  6. Step 6: Final answer
    x = 5,791,280.96

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.