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Finding the Third Proportional to 876,644 and 1,187,956

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Solution

The third proportional to 876,644 and 1,187,956 is: 1,609,820.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    876,644 : 1,187,956 = 1,187,956 : x
  2. Step 2: Convert to fraction form
    876,644/1,187,956 = 1,187,956/x
  3. Step 3: Cross multiply
    876,644x = 1,187,956 × 1,187,956
  4. Step 4: Simplify right side
    876,644x = 1,411,239,457,936
  5. Step 5: Solve for x
    x = 1,411,239,457,936/876,644
  6. Step 6: Final answer
    x = 1,609,820.47

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.