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Finding the Third Proportional to 858,484 and 1,864,592

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Solution

The third proportional to 858,484 and 1,864,592 is: 4,049,817.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    858,484 : 1,864,592 = 1,864,592 : x
  2. Step 2: Convert to fraction form
    858,484/1,864,592 = 1,864,592/x
  3. Step 3: Cross multiply
    858,484x = 1,864,592 × 1,864,592
  4. Step 4: Simplify right side
    858,484x = 3,476,703,326,464
  5. Step 5: Solve for x
    x = 3,476,703,326,464/858,484
  6. Step 6: Final answer
    x = 4,049,817.27

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.