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Finding the Third Proportional to 832,644 and 1,964,916

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Solution

The third proportional to 832,644 and 1,964,916 is: 4,636,909.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    832,644 : 1,964,916 = 1,964,916 : x
  2. Step 2: Convert to fraction form
    832,644/1,964,916 = 1,964,916/x
  3. Step 3: Cross multiply
    832,644x = 1,964,916 × 1,964,916
  4. Step 4: Simplify right side
    832,644x = 3,860,894,887,056
  5. Step 5: Solve for x
    x = 3,860,894,887,056/832,644
  6. Step 6: Final answer
    x = 4,636,909.52

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.