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Finding the Third Proportional to 2,855,698.50 and 6,232,284

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Solution

The third proportional to 2,855,698.50 and 6,232,284 is: 13,601,353.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,855,698.50 : 6,232,284 = 6,232,284 : x
  2. Step 2: Convert to fraction form
    2,855,698.50/6,232,284 = 6,232,284/x
  3. Step 3: Cross multiply
    2,855,698.50x = 6,232,284 × 6,232,284
  4. Step 4: Simplify right side
    2,855,698.50x = 38,841,363,856,656
  5. Step 5: Solve for x
    x = 38,841,363,856,656/2,855,698.50
  6. Step 6: Final answer
    x = 13,601,353.17

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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.