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Finding the Third Proportional to 634,363 and 1,367,753

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Solution

The third proportional to 634,363 and 1,367,753 is: 2,949,018.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    634,363 : 1,367,753 = 1,367,753 : x
  2. Step 2: Convert to fraction form
    634,363/1,367,753 = 1,367,753/x
  3. Step 3: Cross multiply
    634,363x = 1,367,753 × 1,367,753
  4. Step 4: Simplify right side
    634,363x = 1,870,748,269,009
  5. Step 5: Solve for x
    x = 1,870,748,269,009/634,363
  6. Step 6: Final answer
    x = 2,949,018.57

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.