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Finding the Third Proportional to 873,723 and 1,868,913

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Solution

The third proportional to 873,723 and 1,868,913 is: 3,997,646.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    873,723 : 1,868,913 = 1,868,913 : x
  2. Step 2: Convert to fraction form
    873,723/1,868,913 = 1,868,913/x
  3. Step 3: Cross multiply
    873,723x = 1,868,913 × 1,868,913
  4. Step 4: Simplify right side
    873,723x = 3,492,835,801,569
  5. Step 5: Solve for x
    x = 3,492,835,801,569/873,723
  6. Step 6: Final answer
    x = 3,997,646.62

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.