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Finding the Third Proportional to 2,604,170.25 and 5,712,580.69

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Solution

The third proportional to 2,604,170.25 and 5,712,580.69 is: 12,531,276.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,604,170.25 : 5,712,580.69 = 5,712,580.69 : x
  2. Step 2: Convert to fraction form
    2,604,170.25/5,712,580.69 = 5,712,580.69/x
  3. Step 3: Cross multiply
    2,604,170.25x = 5,712,580.69 × 5,712,580.69
  4. Step 4: Simplify right side
    2,604,170.25x = 32,633,578,111,197.97
  5. Step 5: Solve for x
    x = 32,633,578,111,197.97/2,604,170.25
  6. Step 6: Final answer
    x = 12,531,276.75

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.