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Finding the Third Proportional to 959,078 and 1,407,513

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Solution

The third proportional to 959,078 and 1,407,513 is: 2,065,622.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    959,078 : 1,407,513 = 1,407,513 : x
  2. Step 2: Convert to fraction form
    959,078/1,407,513 = 1,407,513/x
  3. Step 3: Cross multiply
    959,078x = 1,407,513 × 1,407,513
  4. Step 4: Simplify right side
    959,078x = 1,981,092,845,169
  5. Step 5: Solve for x
    x = 1,981,092,845,169/959,078
  6. Step 6: Final answer
    x = 2,065,622.24

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.