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Finding the Third Proportional to 945,918 and 1,359,828

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Solution

The third proportional to 945,918 and 1,359,828 is: 1,954,854.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    945,918 : 1,359,828 = 1,359,828 : x
  2. Step 2: Convert to fraction form
    945,918/1,359,828 = 1,359,828/x
  3. Step 3: Cross multiply
    945,918x = 1,359,828 × 1,359,828
  4. Step 4: Simplify right side
    945,918x = 1,849,132,189,584
  5. Step 5: Solve for x
    x = 1,849,132,189,584/945,918
  6. Step 6: Final answer
    x = 1,954,854.64

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.