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Finding the Third Proportional to 873,678 and 1,868,797

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Solution

The third proportional to 873,678 and 1,868,797 is: 3,997,356.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    873,678 : 1,868,797 = 1,868,797 : x
  2. Step 2: Convert to fraction form
    873,678/1,868,797 = 1,868,797/x
  3. Step 3: Cross multiply
    873,678x = 1,868,797 × 1,868,797
  4. Step 4: Simplify right side
    873,678x = 3,492,402,227,209
  5. Step 5: Solve for x
    x = 3,492,402,227,209/873,678
  6. Step 6: Final answer
    x = 3,997,356.27

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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.