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Finding the Third Proportional to 1,299,829.78 and 1,725,132.94

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Solution

The third proportional to 1,299,829.78 and 1,725,132.94 is: 2,289,594.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,299,829.78 : 1,725,132.94 = 1,725,132.94 : x
  2. Step 2: Convert to fraction form
    1,299,829.78/1,725,132.94 = 1,725,132.94/x
  3. Step 3: Cross multiply
    1,299,829.78x = 1,725,132.94 × 1,725,132.94
  4. Step 4: Simplify right side
    1,299,829.78x = 2,976,083,652,047.38
  5. Step 5: Solve for x
    x = 2,976,083,652,047.38/1,299,829.78
  6. Step 6: Final answer
    x = 2,289,594.91

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.