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Finding the Third Proportional to 749,250 and 1,638,468

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Solution

The third proportional to 749,250 and 1,638,468 is: 3,583,019.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    749,250 : 1,638,468 = 1,638,468 : x
  2. Step 2: Convert to fraction form
    749,250/1,638,468 = 1,638,468/x
  3. Step 3: Cross multiply
    749,250x = 1,638,468 × 1,638,468
  4. Step 4: Simplify right side
    749,250x = 2,684,577,387,024
  5. Step 5: Solve for x
    x = 2,684,577,387,024/749,250
  6. Step 6: Final answer
    x = 3,583,019.54

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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.