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Finding the Third Proportional to 760,071 and 1,651,563

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Solution

The third proportional to 760,071 and 1,651,563 is: 3,588,691.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    760,071 : 1,651,563 = 1,651,563 : x
  2. Step 2: Convert to fraction form
    760,071/1,651,563 = 1,651,563/x
  3. Step 3: Cross multiply
    760,071x = 1,651,563 × 1,651,563
  4. Step 4: Simplify right side
    760,071x = 2,727,660,342,969
  5. Step 5: Solve for x
    x = 2,727,660,342,969/760,071
  6. Step 6: Final answer
    x = 3,588,691.51

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.