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Finding the Third Proportional to 619,931 and 957,521

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Solution

The third proportional to 619,931 and 957,521 is: 1,478,949.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    619,931 : 957,521 = 957,521 : x
  2. Step 2: Convert to fraction form
    619,931/957,521 = 957,521/x
  3. Step 3: Cross multiply
    619,931x = 957,521 × 957,521
  4. Step 4: Simplify right side
    619,931x = 916,846,465,441
  5. Step 5: Solve for x
    x = 916,846,465,441/619,931
  6. Step 6: Final answer
    x = 1,478,949.21

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.