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Finding the Third Proportional to 692,694 and 1,041,057

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Solution

The third proportional to 692,694 and 1,041,057 is: 1,564,615.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    692,694 : 1,041,057 = 1,041,057 : x
  2. Step 2: Convert to fraction form
    692,694/1,041,057 = 1,041,057/x
  3. Step 3: Cross multiply
    692,694x = 1,041,057 × 1,041,057
  4. Step 4: Simplify right side
    692,694x = 1,083,799,677,249
  5. Step 5: Solve for x
    x = 1,083,799,677,249/692,694
  6. Step 6: Final answer
    x = 1,564,615.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.