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Finding the Third Proportional to 579,674 and 891,111

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Solution

The third proportional to 579,674 and 891,111 is: 1,369,871.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    579,674 : 891,111 = 891,111 : x
  2. Step 2: Convert to fraction form
    579,674/891,111 = 891,111/x
  3. Step 3: Cross multiply
    579,674x = 891,111 × 891,111
  4. Step 4: Simplify right side
    579,674x = 794,078,814,321
  5. Step 5: Solve for x
    x = 794,078,814,321/579,674
  6. Step 6: Final answer
    x = 1,369,871.37

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.