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Finding the Third Proportional to 1,259,077.92 and 2,697,656.91

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Solution

The third proportional to 1,259,077.92 and 2,697,656.91 is: 5,779,906.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,259,077.92 : 2,697,656.91 = 2,697,656.91 : x
  2. Step 2: Convert to fraction form
    1,259,077.92/2,697,656.91 = 2,697,656.91/x
  3. Step 3: Cross multiply
    1,259,077.92x = 2,697,656.91 × 2,697,656.91
  4. Step 4: Simplify right side
    1,259,077.92x = 7,277,352,783,838.32
  5. Step 5: Solve for x
    x = 7,277,352,783,838.32/1,259,077.92
  6. Step 6: Final answer
    x = 5,779,906.59

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.