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Finding the Third Proportional to 4,137,460 and 6,422,705

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Solution

The third proportional to 4,137,460 and 6,422,705 is: 9,970,160.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,137,460 : 6,422,705 = 6,422,705 : x
  2. Step 2: Convert to fraction form
    4,137,460/6,422,705 = 6,422,705/x
  3. Step 3: Cross multiply
    4,137,460x = 6,422,705 × 6,422,705
  4. Step 4: Simplify right side
    4,137,460x = 41,251,139,517,025
  5. Step 5: Solve for x
    x = 41,251,139,517,025/4,137,460
  6. Step 6: Final answer
    x = 9,970,160.32

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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.