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Finding the Third Proportional to 630,138 and 1,382,747

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Solution

The third proportional to 630,138 and 1,382,747 is: 3,034,238.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    630,138 : 1,382,747 = 1,382,747 : x
  2. Step 2: Convert to fraction form
    630,138/1,382,747 = 1,382,747/x
  3. Step 3: Cross multiply
    630,138x = 1,382,747 × 1,382,747
  4. Step 4: Simplify right side
    630,138x = 1,911,989,266,009
  5. Step 5: Solve for x
    x = 1,911,989,266,009/630,138
  6. Step 6: Final answer
    x = 3,034,238.95

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.