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Finding the Third Proportional to 3,230,142 and 4,705,002

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Solution

The third proportional to 3,230,142 and 4,705,002 is: 6,853,272.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,230,142 : 4,705,002 = 4,705,002 : x
  2. Step 2: Convert to fraction form
    3,230,142/4,705,002 = 4,705,002/x
  3. Step 3: Cross multiply
    3,230,142x = 4,705,002 × 4,705,002
  4. Step 4: Simplify right side
    3,230,142x = 22,137,043,820,004
  5. Step 5: Solve for x
    x = 22,137,043,820,004/3,230,142
  6. Step 6: Final answer
    x = 6,853,272.65

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.