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Finding the Third Proportional to 870,799 and 1,886,913

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Solution

The third proportional to 870,799 and 1,886,913 is: 4,088,705.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    870,799 : 1,886,913 = 1,886,913 : x
  2. Step 2: Convert to fraction form
    870,799/1,886,913 = 1,886,913/x
  3. Step 3: Cross multiply
    870,799x = 1,886,913 × 1,886,913
  4. Step 4: Simplify right side
    870,799x = 3,560,440,669,569
  5. Step 5: Solve for x
    x = 3,560,440,669,569/870,799
  6. Step 6: Final answer
    x = 4,088,705.51

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.