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Finding the Third Proportional to 648,822 and 1,423,949

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Solution

The third proportional to 648,822 and 1,423,949 is: 3,125,095.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,822 : 1,423,949 = 1,423,949 : x
  2. Step 2: Convert to fraction form
    648,822/1,423,949 = 1,423,949/x
  3. Step 3: Cross multiply
    648,822x = 1,423,949 × 1,423,949
  4. Step 4: Simplify right side
    648,822x = 2,027,630,754,601
  5. Step 5: Solve for x
    x = 2,027,630,754,601/648,822
  6. Step 6: Final answer
    x = 3,125,095.56

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