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Finding the Third Proportional to 571,242 and 1,240,821

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Solution

The third proportional to 571,242 and 1,240,821 is: 2,695,244.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    571,242 : 1,240,821 = 1,240,821 : x
  2. Step 2: Convert to fraction form
    571,242/1,240,821 = 1,240,821/x
  3. Step 3: Cross multiply
    571,242x = 1,240,821 × 1,240,821
  4. Step 4: Simplify right side
    571,242x = 1,539,636,754,041
  5. Step 5: Solve for x
    x = 1,539,636,754,041/571,242
  6. Step 6: Final answer
    x = 2,695,244.32

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.