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Finding the Third Proportional to 583,788 and 1,257,636

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Solution

The third proportional to 583,788 and 1,257,636 is: 2,709,285.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,788 : 1,257,636 = 1,257,636 : x
  2. Step 2: Convert to fraction form
    583,788/1,257,636 = 1,257,636/x
  3. Step 3: Cross multiply
    583,788x = 1,257,636 × 1,257,636
  4. Step 4: Simplify right side
    583,788x = 1,581,648,308,496
  5. Step 5: Solve for x
    x = 1,581,648,308,496/583,788
  6. Step 6: Final answer
    x = 2,709,285.41

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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.