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Finding the Third Proportional to 692,914 and 1,481,588

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Solution

The third proportional to 692,914 and 1,481,588 is: 3,167,929.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    692,914 : 1,481,588 = 1,481,588 : x
  2. Step 2: Convert to fraction form
    692,914/1,481,588 = 1,481,588/x
  3. Step 3: Cross multiply
    692,914x = 1,481,588 × 1,481,588
  4. Step 4: Simplify right side
    692,914x = 2,195,103,001,744
  5. Step 5: Solve for x
    x = 2,195,103,001,744/692,914
  6. Step 6: Final answer
    x = 3,167,929.93

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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.