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Finding the Third Proportional to 612,434 and 900,507

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Solution

The third proportional to 612,434 and 900,507 is: 1,324,082.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,434 : 900,507 = 900,507 : x
  2. Step 2: Convert to fraction form
    612,434/900,507 = 900,507/x
  3. Step 3: Cross multiply
    612,434x = 900,507 × 900,507
  4. Step 4: Simplify right side
    612,434x = 810,912,857,049
  5. Step 5: Solve for x
    x = 810,912,857,049/612,434
  6. Step 6: Final answer
    x = 1,324,082.04

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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.