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Finding the Third Proportional to 905,407 and 1,918,748

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Solution

The third proportional to 905,407 and 1,918,748 is: 4,066,230.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    905,407 : 1,918,748 = 1,918,748 : x
  2. Step 2: Convert to fraction form
    905,407/1,918,748 = 1,918,748/x
  3. Step 3: Cross multiply
    905,407x = 1,918,748 × 1,918,748
  4. Step 4: Simplify right side
    905,407x = 3,681,593,887,504
  5. Step 5: Solve for x
    x = 3,681,593,887,504/905,407
  6. Step 6: Final answer
    x = 4,066,230.86

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.