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Finding the Third Proportional to 1,163,292.47 and 1,746,168.89

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Solution

The third proportional to 1,163,292.47 and 1,746,168.89 is: 2,621,099.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,163,292.47 : 1,746,168.89 = 1,746,168.89 : x
  2. Step 2: Convert to fraction form
    1,163,292.47/1,746,168.89 = 1,746,168.89/x
  3. Step 3: Cross multiply
    1,163,292.47x = 1,746,168.89 × 1,746,168.89
  4. Step 4: Simplify right side
    1,163,292.47x = 3,049,105,794,586.54
  5. Step 5: Solve for x
    x = 3,049,105,794,586.54/1,163,292.47
  6. Step 6: Final answer
    x = 2,621,099.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.