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Finding the Third Proportional to 810,098 and 1,772,758

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Solution

The third proportional to 810,098 and 1,772,758 is: 3,879,371.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    810,098 : 1,772,758 = 1,772,758 : x
  2. Step 2: Convert to fraction form
    810,098/1,772,758 = 1,772,758/x
  3. Step 3: Cross multiply
    810,098x = 1,772,758 × 1,772,758
  4. Step 4: Simplify right side
    810,098x = 3,142,670,926,564
  5. Step 5: Solve for x
    x = 3,142,670,926,564/810,098
  6. Step 6: Final answer
    x = 3,879,371.29

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.