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Finding the Third Proportional to 921,342 and 1,421,376

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Solution

The third proportional to 921,342 and 1,421,376 is: 2,192,790.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    921,342 : 1,421,376 = 1,421,376 : x
  2. Step 2: Convert to fraction form
    921,342/1,421,376 = 1,421,376/x
  3. Step 3: Cross multiply
    921,342x = 1,421,376 × 1,421,376
  4. Step 4: Simplify right side
    921,342x = 2,020,309,733,376
  5. Step 5: Solve for x
    x = 2,020,309,733,376/921,342
  6. Step 6: Final answer
    x = 2,192,790.23

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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.