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Finding the Third Proportional to 832,010 and 1,188,951

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Solution

The third proportional to 832,010 and 1,188,951 is: 1,699,023.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    832,010 : 1,188,951 = 1,188,951 : x
  2. Step 2: Convert to fraction form
    832,010/1,188,951 = 1,188,951/x
  3. Step 3: Cross multiply
    832,010x = 1,188,951 × 1,188,951
  4. Step 4: Simplify right side
    832,010x = 1,413,604,480,401
  5. Step 5: Solve for x
    x = 1,413,604,480,401/832,010
  6. Step 6: Final answer
    x = 1,699,023.43

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.