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Finding the Third Proportional to 687,614 and 1,051,184

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Solution

The third proportional to 687,614 and 1,051,184 is: 1,606,988.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,614 : 1,051,184 = 1,051,184 : x
  2. Step 2: Convert to fraction form
    687,614/1,051,184 = 1,051,184/x
  3. Step 3: Cross multiply
    687,614x = 1,051,184 × 1,051,184
  4. Step 4: Simplify right side
    687,614x = 1,104,987,801,856
  5. Step 5: Solve for x
    x = 1,104,987,801,856/687,614
  6. Step 6: Final answer
    x = 1,606,988.52

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.