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Finding the Third Proportional to 1,209,217.50 and 2,639,484

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Solution

The third proportional to 1,209,217.50 and 2,639,484 is: 5,761,474.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,209,217.50 : 2,639,484 = 2,639,484 : x
  2. Step 2: Convert to fraction form
    1,209,217.50/2,639,484 = 2,639,484/x
  3. Step 3: Cross multiply
    1,209,217.50x = 2,639,484 × 2,639,484
  4. Step 4: Simplify right side
    1,209,217.50x = 6,966,875,786,256
  5. Step 5: Solve for x
    x = 6,966,875,786,256/1,209,217.50
  6. Step 6: Final answer
    x = 5,761,474.50

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.