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Finding the Third Proportional to 2,698,504.50 and 5,845,413

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Solution

The third proportional to 2,698,504.50 and 5,845,413 is: 12,662,144.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,698,504.50 : 5,845,413 = 5,845,413 : x
  2. Step 2: Convert to fraction form
    2,698,504.50/5,845,413 = 5,845,413/x
  3. Step 3: Cross multiply
    2,698,504.50x = 5,845,413 × 5,845,413
  4. Step 4: Simplify right side
    2,698,504.50x = 34,168,853,140,569
  5. Step 5: Solve for x
    x = 34,168,853,140,569/2,698,504.50
  6. Step 6: Final answer
    x = 12,662,144.21

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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.