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Finding the Third Proportional to 766,920 and 1,668,514.50

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Solution

The third proportional to 766,920 and 1,668,514.50 is: 3,630,027.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    766,920 : 1,668,514.50 = 1,668,514.50 : x
  2. Step 2: Convert to fraction form
    766,920/1,668,514.50 = 1,668,514.50/x
  3. Step 3: Cross multiply
    766,920x = 1,668,514.50 × 1,668,514.50
  4. Step 4: Simplify right side
    766,920x = 2,783,940,636,710.25
  5. Step 5: Solve for x
    x = 2,783,940,636,710.25/766,920
  6. Step 6: Final answer
    x = 3,630,027.43

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.