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Finding the Third Proportional to 751,786 and 1,565,776

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Solution

The third proportional to 751,786 and 1,565,776 is: 3,261,106.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    751,786 : 1,565,776 = 1,565,776 : x
  2. Step 2: Convert to fraction form
    751,786/1,565,776 = 1,565,776/x
  3. Step 3: Cross multiply
    751,786x = 1,565,776 × 1,565,776
  4. Step 4: Simplify right side
    751,786x = 2,451,654,482,176
  5. Step 5: Solve for x
    x = 2,451,654,482,176/751,786
  6. Step 6: Final answer
    x = 3,261,106.86

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.