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Finding the Third Proportional to 571,208 and 1,240,747

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Solution

The third proportional to 571,208 and 1,240,747 is: 2,695,083.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    571,208 : 1,240,747 = 1,240,747 : x
  2. Step 2: Convert to fraction form
    571,208/1,240,747 = 1,240,747/x
  3. Step 3: Cross multiply
    571,208x = 1,240,747 × 1,240,747
  4. Step 4: Simplify right side
    571,208x = 1,539,453,118,009
  5. Step 5: Solve for x
    x = 1,539,453,118,009/571,208
  6. Step 6: Final answer
    x = 2,695,083.26

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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.