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Finding the Third Proportional to 583,695 and 1,257,435

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Solution

The third proportional to 583,695 and 1,257,435 is: 2,708,850.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,695 : 1,257,435 = 1,257,435 : x
  2. Step 2: Convert to fraction form
    583,695/1,257,435 = 1,257,435/x
  3. Step 3: Cross multiply
    583,695x = 1,257,435 × 1,257,435
  4. Step 4: Simplify right side
    583,695x = 1,581,142,779,225
  5. Step 5: Solve for x
    x = 1,581,142,779,225/583,695
  6. Step 6: Final answer
    x = 2,708,850.99

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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.