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Finding the Third Proportional to 760,577 and 1,641,170

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Solution

The third proportional to 760,577 and 1,641,170 is: 3,541,310.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    760,577 : 1,641,170 = 1,641,170 : x
  2. Step 2: Convert to fraction form
    760,577/1,641,170 = 1,641,170/x
  3. Step 3: Cross multiply
    760,577x = 1,641,170 × 1,641,170
  4. Step 4: Simplify right side
    760,577x = 2,693,438,968,900
  5. Step 5: Solve for x
    x = 2,693,438,968,900/760,577
  6. Step 6: Final answer
    x = 3,541,310.04

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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.