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Finding the Third Proportional to 921,478 and 1,916,522

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Solution

The third proportional to 921,478 and 1,916,522 is: 3,986,049.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    921,478 : 1,916,522 = 1,916,522 : x
  2. Step 2: Convert to fraction form
    921,478/1,916,522 = 1,916,522/x
  3. Step 3: Cross multiply
    921,478x = 1,916,522 × 1,916,522
  4. Step 4: Simplify right side
    921,478x = 3,673,056,576,484
  5. Step 5: Solve for x
    x = 3,673,056,576,484/921,478
  6. Step 6: Final answer
    x = 3,986,049.13

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.