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Finding the Third Proportional to 2,167,335 and 4,745,745

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Solution

The third proportional to 2,167,335 and 4,745,745 is: 10,391,607.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,167,335 : 4,745,745 = 4,745,745 : x
  2. Step 2: Convert to fraction form
    2,167,335/4,745,745 = 4,745,745/x
  3. Step 3: Cross multiply
    2,167,335x = 4,745,745 × 4,745,745
  4. Step 4: Simplify right side
    2,167,335x = 22,522,095,605,025
  5. Step 5: Solve for x
    x = 22,522,095,605,025/2,167,335
  6. Step 6: Final answer
    x = 10,391,607.94

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.