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Finding the Third Proportional to 2,698,502.06 and 5,845,407.75

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Solution

The third proportional to 2,698,502.06 and 5,845,407.75 is: 12,662,132.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,698,502.06 : 5,845,407.75 = 5,845,407.75 : x
  2. Step 2: Convert to fraction form
    2,698,502.06/5,845,407.75 = 5,845,407.75/x
  3. Step 3: Cross multiply
    2,698,502.06x = 5,845,407.75 × 5,845,407.75
  4. Step 4: Simplify right side
    2,698,502.06x = 34,168,791,763,760.06
  5. Step 5: Solve for x
    x = 34,168,791,763,760.06/2,698,502.06
  6. Step 6: Final answer
    x = 12,662,132.91

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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.