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Finding the Third Proportional to 873,729 and 1,868,934

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Solution

The third proportional to 873,729 and 1,868,934 is: 3,997,709.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    873,729 : 1,868,934 = 1,868,934 : x
  2. Step 2: Convert to fraction form
    873,729/1,868,934 = 1,868,934/x
  3. Step 3: Cross multiply
    873,729x = 1,868,934 × 1,868,934
  4. Step 4: Simplify right side
    873,729x = 3,492,914,296,356
  5. Step 5: Solve for x
    x = 3,492,914,296,356/873,729
  6. Step 6: Final answer
    x = 3,997,709.01

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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.