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Finding the Third Proportional to 646,822 and 1,360,670

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Solution

The third proportional to 646,822 and 1,360,670 is: 2,862,337.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,822 : 1,360,670 = 1,360,670 : x
  2. Step 2: Convert to fraction form
    646,822/1,360,670 = 1,360,670/x
  3. Step 3: Cross multiply
    646,822x = 1,360,670 × 1,360,670
  4. Step 4: Simplify right side
    646,822x = 1,851,422,848,900
  5. Step 5: Solve for x
    x = 1,851,422,848,900/646,822
  6. Step 6: Final answer
    x = 2,862,337.47

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.