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Finding the Third Proportional to 644,978 and 1,506,132

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Solution

The third proportional to 644,978 and 1,506,132 is: 3,517,071.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,978 : 1,506,132 = 1,506,132 : x
  2. Step 2: Convert to fraction form
    644,978/1,506,132 = 1,506,132/x
  3. Step 3: Cross multiply
    644,978x = 1,506,132 × 1,506,132
  4. Step 4: Simplify right side
    644,978x = 2,268,433,601,424
  5. Step 5: Solve for x
    x = 2,268,433,601,424/644,978
  6. Step 6: Final answer
    x = 3,517,071.28

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.