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Finding the Third Proportional to 1,923,500.25 and 4,180,362

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Solution

The third proportional to 1,923,500.25 and 4,180,362 is: 9,085,221.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,923,500.25 : 4,180,362 = 4,180,362 : x
  2. Step 2: Convert to fraction form
    1,923,500.25/4,180,362 = 4,180,362/x
  3. Step 3: Cross multiply
    1,923,500.25x = 4,180,362 × 4,180,362
  4. Step 4: Simplify right side
    1,923,500.25x = 17,475,426,451,044
  5. Step 5: Solve for x
    x = 17,475,426,451,044/1,923,500.25
  6. Step 6: Final answer
    x = 9,085,221.82

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.