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Finding the Third Proportional to 959,258 and 1,407,781

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Solution

The third proportional to 959,258 and 1,407,781 is: 2,066,021.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    959,258 : 1,407,781 = 1,407,781 : x
  2. Step 2: Convert to fraction form
    959,258/1,407,781 = 1,407,781/x
  3. Step 3: Cross multiply
    959,258x = 1,407,781 × 1,407,781
  4. Step 4: Simplify right side
    959,258x = 1,981,847,343,961
  5. Step 5: Solve for x
    x = 1,981,847,343,961/959,258
  6. Step 6: Final answer
    x = 2,066,021.18

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Why These Related Problems?

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