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Finding the Third Proportional to 749,826 and 1,617,750

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Solution

The third proportional to 749,826 and 1,617,750 is: 3,490,296.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    749,826 : 1,617,750 = 1,617,750 : x
  2. Step 2: Convert to fraction form
    749,826/1,617,750 = 1,617,750/x
  3. Step 3: Cross multiply
    749,826x = 1,617,750 × 1,617,750
  4. Step 4: Simplify right side
    749,826x = 2,617,115,062,500
  5. Step 5: Solve for x
    x = 2,617,115,062,500/749,826
  6. Step 6: Final answer
    x = 3,490,296.50

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.