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Finding the Third Proportional to 897,786 and 1,259,775

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Solution

The third proportional to 897,786 and 1,259,775 is: 1,767,718.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    897,786 : 1,259,775 = 1,259,775 : x
  2. Step 2: Convert to fraction form
    897,786/1,259,775 = 1,259,775/x
  3. Step 3: Cross multiply
    897,786x = 1,259,775 × 1,259,775
  4. Step 4: Simplify right side
    897,786x = 1,587,033,050,625
  5. Step 5: Solve for x
    x = 1,587,033,050,625/897,786
  6. Step 6: Final answer
    x = 1,767,718.64

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.