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Finding the Third Proportional to 850,952 and 1,259,607

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Solution

The third proportional to 850,952 and 1,259,607 is: 1,864,511.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    850,952 : 1,259,607 = 1,259,607 : x
  2. Step 2: Convert to fraction form
    850,952/1,259,607 = 1,259,607/x
  3. Step 3: Cross multiply
    850,952x = 1,259,607 × 1,259,607
  4. Step 4: Simplify right side
    850,952x = 1,586,609,794,449
  5. Step 5: Solve for x
    x = 1,586,609,794,449/850,952
  6. Step 6: Final answer
    x = 1,864,511.51

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.