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Finding the Third Proportional to 3,836,306 and 5,630,043

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Solution

The third proportional to 3,836,306 and 5,630,043 is: 8,262,475.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,836,306 : 5,630,043 = 5,630,043 : x
  2. Step 2: Convert to fraction form
    3,836,306/5,630,043 = 5,630,043/x
  3. Step 3: Cross multiply
    3,836,306x = 5,630,043 × 5,630,043
  4. Step 4: Simplify right side
    3,836,306x = 31,697,384,181,849
  5. Step 5: Solve for x
    x = 31,697,384,181,849/3,836,306
  6. Step 6: Final answer
    x = 8,262,475.46

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.