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Finding the Third Proportional to 2,260,824.75 and 4,875,852.38

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Solution

The third proportional to 2,260,824.75 and 4,875,852.38 is: 10,515,603.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,260,824.75 : 4,875,852.38 = 4,875,852.38 : x
  2. Step 2: Convert to fraction form
    2,260,824.75/4,875,852.38 = 4,875,852.38/x
  3. Step 3: Cross multiply
    2,260,824.75x = 4,875,852.38 × 4,875,852.38
  4. Step 4: Simplify right side
    2,260,824.75x = 23,773,936,382,793.14
  5. Step 5: Solve for x
    x = 23,773,936,382,793.14/2,260,824.75
  6. Step 6: Final answer
    x = 10,515,603.38

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.