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Finding the Third Proportional to 692,666 and 1,039,023

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Solution

The third proportional to 692,666 and 1,039,023 is: 1,558,570.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    692,666 : 1,039,023 = 1,039,023 : x
  2. Step 2: Convert to fraction form
    692,666/1,039,023 = 1,039,023/x
  3. Step 3: Cross multiply
    692,666x = 1,039,023 × 1,039,023
  4. Step 4: Simplify right side
    692,666x = 1,079,568,794,529
  5. Step 5: Solve for x
    x = 1,079,568,794,529/692,666
  6. Step 6: Final answer
    x = 1,558,570.50

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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.