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Finding the Third Proportional to 630,084 and 1,382,649

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Solution

The third proportional to 630,084 and 1,382,649 is: 3,034,068.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    630,084 : 1,382,649 = 1,382,649 : x
  2. Step 2: Convert to fraction form
    630,084/1,382,649 = 1,382,649/x
  3. Step 3: Cross multiply
    630,084x = 1,382,649 × 1,382,649
  4. Step 4: Simplify right side
    630,084x = 1,911,718,257,201
  5. Step 5: Solve for x
    x = 1,911,718,257,201/630,084
  6. Step 6: Final answer
    x = 3,034,068.88

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Why These Related Problems?

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