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Finding the Third Proportional to 611,552 and 899,351

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Solution

The third proportional to 611,552 and 899,351 is: 1,322,589.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,552 : 899,351 = 899,351 : x
  2. Step 2: Convert to fraction form
    611,552/899,351 = 899,351/x
  3. Step 3: Cross multiply
    611,552x = 899,351 × 899,351
  4. Step 4: Simplify right side
    611,552x = 808,832,221,201
  5. Step 5: Solve for x
    x = 808,832,221,201/611,552
  6. Step 6: Final answer
    x = 1,322,589.45

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.