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Finding the Third Proportional to 3,785,402 and 8,209,678

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Solution

The third proportional to 3,785,402 and 8,209,678 is: 17,804,928.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,785,402 : 8,209,678 = 8,209,678 : x
  2. Step 2: Convert to fraction form
    3,785,402/8,209,678 = 8,209,678/x
  3. Step 3: Cross multiply
    3,785,402x = 8,209,678 × 8,209,678
  4. Step 4: Simplify right side
    3,785,402x = 67,398,812,863,684
  5. Step 5: Solve for x
    x = 67,398,812,863,684/3,785,402
  6. Step 6: Final answer
    x = 17,804,928.74

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.