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Finding the Third Proportional to 674,154.70 and 1,448,364.66

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Solution

The third proportional to 674,154.70 and 1,448,364.66 is: 3,111,689.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    674,154.70 : 1,448,364.66 = 1,448,364.66 : x
  2. Step 2: Convert to fraction form
    674,154.70/1,448,364.66 = 1,448,364.66/x
  3. Step 3: Cross multiply
    674,154.70x = 1,448,364.66 × 1,448,364.66
  4. Step 4: Simplify right side
    674,154.70x = 2,097,760,177,474.18
  5. Step 5: Solve for x
    x = 2,097,760,177,474.18/674,154.70
  6. Step 6: Final answer
    x = 3,111,689.60

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.