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Finding the Third Proportional to 4,000,769 and 5,717,010.50

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Solution

The third proportional to 4,000,769 and 5,717,010.50 is: 8,169,481.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,000,769 : 5,717,010.50 = 5,717,010.50 : x
  2. Step 2: Convert to fraction form
    4,000,769/5,717,010.50 = 5,717,010.50/x
  3. Step 3: Cross multiply
    4,000,769x = 5,717,010.50 × 5,717,010.50
  4. Step 4: Simplify right side
    4,000,769x = 32,684,209,057,110.25
  5. Step 5: Solve for x
    x = 32,684,209,057,110.25/4,000,769
  6. Step 6: Final answer
    x = 8,169,481.68

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.