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Finding the Third Proportional to 909,165 and 1,912,290

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Solution

The third proportional to 909,165 and 1,912,290 is: 4,022,210.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    909,165 : 1,912,290 = 1,912,290 : x
  2. Step 2: Convert to fraction form
    909,165/1,912,290 = 1,912,290/x
  3. Step 3: Cross multiply
    909,165x = 1,912,290 × 1,912,290
  4. Step 4: Simplify right side
    909,165x = 3,656,853,044,100
  5. Step 5: Solve for x
    x = 3,656,853,044,100/909,165
  6. Step 6: Final answer
    x = 4,022,210.54

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.