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Finding the Third Proportional to 757,712 and 1,176,408

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Solution

The third proportional to 757,712 and 1,176,408 is: 1,826,466.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    757,712 : 1,176,408 = 1,176,408 : x
  2. Step 2: Convert to fraction form
    757,712/1,176,408 = 1,176,408/x
  3. Step 3: Cross multiply
    757,712x = 1,176,408 × 1,176,408
  4. Step 4: Simplify right side
    757,712x = 1,383,935,782,464
  5. Step 5: Solve for x
    x = 1,383,935,782,464/757,712
  6. Step 6: Final answer
    x = 1,826,466.76

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.