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Finding the Third Proportional to 1,835,424 and 4,025,376

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Solution

The third proportional to 1,835,424 and 4,025,376 is: 8,828,288.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,835,424 : 4,025,376 = 4,025,376 : x
  2. Step 2: Convert to fraction form
    1,835,424/4,025,376 = 4,025,376/x
  3. Step 3: Cross multiply
    1,835,424x = 4,025,376 × 4,025,376
  4. Step 4: Simplify right side
    1,835,424x = 16,203,651,941,376
  5. Step 5: Solve for x
    x = 16,203,651,941,376/1,835,424
  6. Step 6: Final answer
    x = 8,828,288.15

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.