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Finding the Third Proportional to 4,106,889 and 6,384,348

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Solution

The third proportional to 4,106,889 and 6,384,348 is: 9,924,762.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,106,889 : 6,384,348 = 6,384,348 : x
  2. Step 2: Convert to fraction form
    4,106,889/6,384,348 = 6,384,348/x
  3. Step 3: Cross multiply
    4,106,889x = 6,384,348 × 6,384,348
  4. Step 4: Simplify right side
    4,106,889x = 40,759,899,385,104
  5. Step 5: Solve for x
    x = 40,759,899,385,104/4,106,889
  6. Step 6: Final answer
    x = 9,924,762.85

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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.