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Finding the Third Proportional to 657,894 and 1,441,431

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Solution

The third proportional to 657,894 and 1,441,431 is: 3,158,143.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,894 : 1,441,431 = 1,441,431 : x
  2. Step 2: Convert to fraction form
    657,894/1,441,431 = 1,441,431/x
  3. Step 3: Cross multiply
    657,894x = 1,441,431 × 1,441,431
  4. Step 4: Simplify right side
    657,894x = 2,077,723,327,761
  5. Step 5: Solve for x
    x = 2,077,723,327,761/657,894
  6. Step 6: Final answer
    x = 3,158,143.00

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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.