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Finding the Third Proportional to 900,079 and 1,968,285

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Solution

The third proportional to 900,079 and 1,968,285 is: 4,304,228.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    900,079 : 1,968,285 = 1,968,285 : x
  2. Step 2: Convert to fraction form
    900,079/1,968,285 = 1,968,285/x
  3. Step 3: Cross multiply
    900,079x = 1,968,285 × 1,968,285
  4. Step 4: Simplify right side
    900,079x = 3,874,145,841,225
  5. Step 5: Solve for x
    x = 3,874,145,841,225/900,079
  6. Step 6: Final answer
    x = 4,304,228.67

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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.