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Finding the Third Proportional to 1,170,325.13 and 2,554,976.25

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Solution

The third proportional to 1,170,325.13 and 2,554,976.25 is: 5,577,854.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,170,325.13 : 2,554,976.25 = 2,554,976.25 : x
  2. Step 2: Convert to fraction form
    1,170,325.13/2,554,976.25 = 2,554,976.25/x
  3. Step 3: Cross multiply
    1,170,325.13x = 2,554,976.25 × 2,554,976.25
  4. Step 4: Simplify right side
    1,170,325.13x = 6,527,903,638,064.06
  5. Step 5: Solve for x
    x = 6,527,903,638,064.06/1,170,325.13
  6. Step 6: Final answer
    x = 5,577,854.82

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.