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Finding the Third Proportional to 1,630,294 and 3,836,013

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Solution

The third proportional to 1,630,294 and 3,836,013 is: 9,025,976.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,630,294 : 3,836,013 = 3,836,013 : x
  2. Step 2: Convert to fraction form
    1,630,294/3,836,013 = 3,836,013/x
  3. Step 3: Cross multiply
    1,630,294x = 3,836,013 × 3,836,013
  4. Step 4: Simplify right side
    1,630,294x = 14,714,995,736,169
  5. Step 5: Solve for x
    x = 14,714,995,736,169/1,630,294
  6. Step 6: Final answer
    x = 9,025,976.75

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.