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Finding the Third Proportional to 634,408 and 1,428,516

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Solution

The third proportional to 634,408 and 1,428,516 is: 3,216,633.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    634,408 : 1,428,516 = 1,428,516 : x
  2. Step 2: Convert to fraction form
    634,408/1,428,516 = 1,428,516/x
  3. Step 3: Cross multiply
    634,408x = 1,428,516 × 1,428,516
  4. Step 4: Simplify right side
    634,408x = 2,040,657,962,256
  5. Step 5: Solve for x
    x = 2,040,657,962,256/634,408
  6. Step 6: Final answer
    x = 3,216,633.40

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.