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Finding the Third Proportional to 942,858 and 1,459,638

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Solution

The third proportional to 942,858 and 1,459,638 is: 2,259,664.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    942,858 : 1,459,638 = 1,459,638 : x
  2. Step 2: Convert to fraction form
    942,858/1,459,638 = 1,459,638/x
  3. Step 3: Cross multiply
    942,858x = 1,459,638 × 1,459,638
  4. Step 4: Simplify right side
    942,858x = 2,130,543,091,044
  5. Step 5: Solve for x
    x = 2,130,543,091,044/942,858
  6. Step 6: Final answer
    x = 2,259,664.86

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.