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Finding the Third Proportional to 657,565 and 1,415,003.50

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Solution

The third proportional to 657,565 and 1,415,003.50 is: 3,044,923.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,565 : 1,415,003.50 = 1,415,003.50 : x
  2. Step 2: Convert to fraction form
    657,565/1,415,003.50 = 1,415,003.50/x
  3. Step 3: Cross multiply
    657,565x = 1,415,003.50 × 1,415,003.50
  4. Step 4: Simplify right side
    657,565x = 2,002,234,905,012.25
  5. Step 5: Solve for x
    x = 2,002,234,905,012.25/657,565
  6. Step 6: Final answer
    x = 3,044,923.17

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.