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Finding the Third Proportional to 699,811 and 1,049,533

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Solution

The third proportional to 699,811 and 1,049,533 is: 1,574,024.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    699,811 : 1,049,533 = 1,049,533 : x
  2. Step 2: Convert to fraction form
    699,811/1,049,533 = 1,049,533/x
  3. Step 3: Cross multiply
    699,811x = 1,049,533 × 1,049,533
  4. Step 4: Simplify right side
    699,811x = 1,101,519,518,089
  5. Step 5: Solve for x
    x = 1,101,519,518,089/699,811
  6. Step 6: Final answer
    x = 1,574,024.30

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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.