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Finding the Third Proportional to 612,444 and 900,522

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Solution

The third proportional to 612,444 and 900,522 is: 1,324,104.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,444 : 900,522 = 900,522 : x
  2. Step 2: Convert to fraction form
    612,444/900,522 = 900,522/x
  3. Step 3: Cross multiply
    612,444x = 900,522 × 900,522
  4. Step 4: Simplify right side
    612,444x = 810,939,872,484
  5. Step 5: Solve for x
    x = 810,939,872,484/612,444
  6. Step 6: Final answer
    x = 1,324,104.53

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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.