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Finding the Third Proportional to 1,732,884 and 3,864,214.50

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Solution

The third proportional to 1,732,884 and 3,864,214.50 is: 8,616,937.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,732,884 : 3,864,214.50 = 3,864,214.50 : x
  2. Step 2: Convert to fraction form
    1,732,884/3,864,214.50 = 3,864,214.50/x
  3. Step 3: Cross multiply
    1,732,884x = 3,864,214.50 × 3,864,214.50
  4. Step 4: Simplify right side
    1,732,884x = 14,932,153,702,010.25
  5. Step 5: Solve for x
    x = 14,932,153,702,010.25/1,732,884
  6. Step 6: Final answer
    x = 8,616,937.83

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.