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Finding the Third Proportional to 646,983 and 1,407,330

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Solution

The third proportional to 646,983 and 1,407,330 is: 3,061,251.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,983 : 1,407,330 = 1,407,330 : x
  2. Step 2: Convert to fraction form
    646,983/1,407,330 = 1,407,330/x
  3. Step 3: Cross multiply
    646,983x = 1,407,330 × 1,407,330
  4. Step 4: Simplify right side
    646,983x = 1,980,577,728,900
  5. Step 5: Solve for x
    x = 1,980,577,728,900/646,983
  6. Step 6: Final answer
    x = 3,061,251.58

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.