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Finding the Third Proportional to 1,306,845 and 2,830,848.75

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Solution

The third proportional to 1,306,845 and 2,830,848.75 is: 6,132,100.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,306,845 : 2,830,848.75 = 2,830,848.75 : x
  2. Step 2: Convert to fraction form
    1,306,845/2,830,848.75 = 2,830,848.75/x
  3. Step 3: Cross multiply
    1,306,845x = 2,830,848.75 × 2,830,848.75
  4. Step 4: Simplify right side
    1,306,845x = 8,013,704,645,376.56
  5. Step 5: Solve for x
    x = 8,013,704,645,376.56/1,306,845
  6. Step 6: Final answer
    x = 6,132,100.32

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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.