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Finding the Third Proportional to 4,117,816 and 6,209,124

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Solution

The third proportional to 4,117,816 and 6,209,124 is: 9,362,540.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,117,816 : 6,209,124 = 6,209,124 : x
  2. Step 2: Convert to fraction form
    4,117,816/6,209,124 = 6,209,124/x
  3. Step 3: Cross multiply
    4,117,816x = 6,209,124 × 6,209,124
  4. Step 4: Simplify right side
    4,117,816x = 38,553,220,847,376
  5. Step 5: Solve for x
    x = 38,553,220,847,376/4,117,816
  6. Step 6: Final answer
    x = 9,362,540.93

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.