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Finding the Third Proportional to 749,114 and 1,650,931

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Solution

The third proportional to 749,114 and 1,650,931 is: 3,638,395.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    749,114 : 1,650,931 = 1,650,931 : x
  2. Step 2: Convert to fraction form
    749,114/1,650,931 = 1,650,931/x
  3. Step 3: Cross multiply
    749,114x = 1,650,931 × 1,650,931
  4. Step 4: Simplify right side
    749,114x = 2,725,573,166,761
  5. Step 5: Solve for x
    x = 2,725,573,166,761/749,114
  6. Step 6: Final answer
    x = 3,638,395.71

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.