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Finding the Third Proportional to 1,726,260.19 and 2,876,980.78

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Solution

The third proportional to 1,726,260.19 and 2,876,980.78 is: 4,794,768.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,726,260.19 : 2,876,980.78 = 2,876,980.78 : x
  2. Step 2: Convert to fraction form
    1,726,260.19/2,876,980.78 = 2,876,980.78/x
  3. Step 3: Cross multiply
    1,726,260.19x = 2,876,980.78 × 2,876,980.78
  4. Step 4: Simplify right side
    1,726,260.19x = 8,277,018,415,681.86
  5. Step 5: Solve for x
    x = 8,277,018,415,681.86/1,726,260.19
  6. Step 6: Final answer
    x = 4,794,768.76

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.