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Finding the Third Proportional to 1,900,514 and 4,098,095.50

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Solution

The third proportional to 1,900,514 and 4,098,095.50 is: 8,836,760.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,900,514 : 4,098,095.50 = 4,098,095.50 : x
  2. Step 2: Convert to fraction form
    1,900,514/4,098,095.50 = 4,098,095.50/x
  3. Step 3: Cross multiply
    1,900,514x = 4,098,095.50 × 4,098,095.50
  4. Step 4: Simplify right side
    1,900,514x = 16,794,386,727,120.25
  5. Step 5: Solve for x
    x = 16,794,386,727,120.25/1,900,514
  6. Step 6: Final answer
    x = 8,836,760.33

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.