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Finding the Third Proportional to 657,618 and 1,436,996

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Solution

The third proportional to 657,618 and 1,436,996 is: 3,140,056.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,618 : 1,436,996 = 1,436,996 : x
  2. Step 2: Convert to fraction form
    657,618/1,436,996 = 1,436,996/x
  3. Step 3: Cross multiply
    657,618x = 1,436,996 × 1,436,996
  4. Step 4: Simplify right side
    657,618x = 2,064,957,504,016
  5. Step 5: Solve for x
    x = 2,064,957,504,016/657,618
  6. Step 6: Final answer
    x = 3,140,056.24

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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.