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Finding the Third Proportional to 864,983 and 1,857,829

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Solution

The third proportional to 864,983 and 1,857,829 is: 3,990,284.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    864,983 : 1,857,829 = 1,857,829 : x
  2. Step 2: Convert to fraction form
    864,983/1,857,829 = 1,857,829/x
  3. Step 3: Cross multiply
    864,983x = 1,857,829 × 1,857,829
  4. Step 4: Simplify right side
    864,983x = 3,451,528,593,241
  5. Step 5: Solve for x
    x = 3,451,528,593,241/864,983
  6. Step 6: Final answer
    x = 3,990,284.89

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.