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Finding the Third Proportional to 869,682 and 1,266,732

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Solution

The third proportional to 869,682 and 1,266,732 is: 1,845,053.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    869,682 : 1,266,732 = 1,266,732 : x
  2. Step 2: Convert to fraction form
    869,682/1,266,732 = 1,266,732/x
  3. Step 3: Cross multiply
    869,682x = 1,266,732 × 1,266,732
  4. Step 4: Simplify right side
    869,682x = 1,604,609,959,824
  5. Step 5: Solve for x
    x = 1,604,609,959,824/869,682
  6. Step 6: Final answer
    x = 1,845,053.66

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.