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Finding the Third Proportional to 646,144 and 1,324,528

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Solution

The third proportional to 646,144 and 1,324,528 is: 2,715,144.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,144 : 1,324,528 = 1,324,528 : x
  2. Step 2: Convert to fraction form
    646,144/1,324,528 = 1,324,528/x
  3. Step 3: Cross multiply
    646,144x = 1,324,528 × 1,324,528
  4. Step 4: Simplify right side
    646,144x = 1,754,374,422,784
  5. Step 5: Solve for x
    x = 1,754,374,422,784/646,144
  6. Step 6: Final answer
    x = 2,715,144.65

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.