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Finding the Third Proportional to 4,105,200 and 6,371,952

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Solution

The third proportional to 4,105,200 and 6,371,952 is: 9,890,327.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,105,200 : 6,371,952 = 6,371,952 : x
  2. Step 2: Convert to fraction form
    4,105,200/6,371,952 = 6,371,952/x
  3. Step 3: Cross multiply
    4,105,200x = 6,371,952 × 6,371,952
  4. Step 4: Simplify right side
    4,105,200x = 40,601,772,290,304
  5. Step 5: Solve for x
    x = 40,601,772,290,304/4,105,200
  6. Step 6: Final answer
    x = 9,890,327.46

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.