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Finding the Third Proportional to 909,127 and 1,912,214

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Solution

The third proportional to 909,127 and 1,912,214 is: 4,022,058.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    909,127 : 1,912,214 = 1,912,214 : x
  2. Step 2: Convert to fraction form
    909,127/1,912,214 = 1,912,214/x
  3. Step 3: Cross multiply
    909,127x = 1,912,214 × 1,912,214
  4. Step 4: Simplify right side
    909,127x = 3,656,562,381,796
  5. Step 5: Solve for x
    x = 3,656,562,381,796/909,127
  6. Step 6: Final answer
    x = 4,022,058.94

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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.