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Finding the Third Proportional to 661,818 and 931,974

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Solution

The third proportional to 661,818 and 931,974 is: 1,312,408.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    661,818 : 931,974 = 931,974 : x
  2. Step 2: Convert to fraction form
    661,818/931,974 = 931,974/x
  3. Step 3: Cross multiply
    661,818x = 931,974 × 931,974
  4. Step 4: Simplify right side
    661,818x = 868,575,536,676
  5. Step 5: Solve for x
    x = 868,575,536,676/661,818
  6. Step 6: Final answer
    x = 1,312,408.45

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.