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Finding the Third Proportional to 2,159,583 and 4,725,906

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Solution

The third proportional to 2,159,583 and 4,725,906 is: 10,341,898.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,159,583 : 4,725,906 = 4,725,906 : x
  2. Step 2: Convert to fraction form
    2,159,583/4,725,906 = 4,725,906/x
  3. Step 3: Cross multiply
    2,159,583x = 4,725,906 × 4,725,906
  4. Step 4: Simplify right side
    2,159,583x = 22,334,187,520,836
  5. Step 5: Solve for x
    x = 22,334,187,520,836/2,159,583
  6. Step 6: Final answer
    x = 10,341,898.19

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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.