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Finding the Third Proportional to 4,225,913 and 6,313,991

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Solution

The third proportional to 4,225,913 and 6,313,991 is: 9,433,815.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,225,913 : 6,313,991 = 6,313,991 : x
  2. Step 2: Convert to fraction form
    4,225,913/6,313,991 = 6,313,991/x
  3. Step 3: Cross multiply
    4,225,913x = 6,313,991 × 6,313,991
  4. Step 4: Simplify right side
    4,225,913x = 39,866,482,348,081
  5. Step 5: Solve for x
    x = 39,866,482,348,081/4,225,913
  6. Step 6: Final answer
    x = 9,433,815.21

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.