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Finding the Third Proportional to 452,564 and 976,911

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Solution

The third proportional to 452,564 and 976,911 is: 2,108,773.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,564 : 976,911 = 976,911 : x
  2. Step 2: Convert to fraction form
    452,564/976,911 = 976,911/x
  3. Step 3: Cross multiply
    452,564x = 976,911 × 976,911
  4. Step 4: Simplify right side
    452,564x = 954,355,101,921
  5. Step 5: Solve for x
    x = 954,355,101,921/452,564
  6. Step 6: Final answer
    x = 2,108,773.79

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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.