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Finding the Third Proportional to 651,408 and 1,435,332

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Solution

The third proportional to 651,408 and 1,435,332 is: 3,162,653.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,408 : 1,435,332 = 1,435,332 : x
  2. Step 2: Convert to fraction form
    651,408/1,435,332 = 1,435,332/x
  3. Step 3: Cross multiply
    651,408x = 1,435,332 × 1,435,332
  4. Step 4: Simplify right side
    651,408x = 2,060,177,950,224
  5. Step 5: Solve for x
    x = 2,060,177,950,224/651,408
  6. Step 6: Final answer
    x = 3,162,653.74

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.