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Finding the Third Proportional to 699,788 and 1,114,041

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Solution

The third proportional to 699,788 and 1,114,041 is: 1,773,519.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    699,788 : 1,114,041 = 1,114,041 : x
  2. Step 2: Convert to fraction form
    699,788/1,114,041 = 1,114,041/x
  3. Step 3: Cross multiply
    699,788x = 1,114,041 × 1,114,041
  4. Step 4: Simplify right side
    699,788x = 1,241,087,349,681
  5. Step 5: Solve for x
    x = 1,241,087,349,681/699,788
  6. Step 6: Final answer
    x = 1,773,519.05

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.