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Finding the Third Proportional to 891,224 and 1,924,489

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Solution

The third proportional to 891,224 and 1,924,489 is: 4,155,698.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    891,224 : 1,924,489 = 1,924,489 : x
  2. Step 2: Convert to fraction form
    891,224/1,924,489 = 1,924,489/x
  3. Step 3: Cross multiply
    891,224x = 1,924,489 × 1,924,489
  4. Step 4: Simplify right side
    891,224x = 3,703,657,911,121
  5. Step 5: Solve for x
    x = 3,703,657,911,121/891,224
  6. Step 6: Final answer
    x = 4,155,698.13

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.