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Finding the Third Proportional to 420,164 and 921,964

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Solution

The third proportional to 420,164 and 921,964 is: 2,023,061.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,164 : 921,964 = 921,964 : x
  2. Step 2: Convert to fraction form
    420,164/921,964 = 921,964/x
  3. Step 3: Cross multiply
    420,164x = 921,964 × 921,964
  4. Step 4: Simplify right side
    420,164x = 850,017,617,296
  5. Step 5: Solve for x
    x = 850,017,617,296/420,164
  6. Step 6: Final answer
    x = 2,023,061.51

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.