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Finding the Third Proportional to 657,270 and 993,016.13

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Solution

The third proportional to 657,270 and 993,016.13 is: 1,500,267.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,270 : 993,016.13 = 993,016.13 : x
  2. Step 2: Convert to fraction form
    657,270/993,016.13 = 993,016.13/x
  3. Step 3: Cross multiply
    657,270x = 993,016.13 × 993,016.13
  4. Step 4: Simplify right side
    657,270x = 986,081,024,510.02
  5. Step 5: Solve for x
    x = 986,081,024,510.02/657,270
  6. Step 6: Final answer
    x = 1,500,267.81

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.