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Finding the Third Proportional to 589,510 and 1,263,138

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Solution

The third proportional to 589,510 and 1,263,138 is: 2,706,514.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,510 : 1,263,138 = 1,263,138 : x
  2. Step 2: Convert to fraction form
    589,510/1,263,138 = 1,263,138/x
  3. Step 3: Cross multiply
    589,510x = 1,263,138 × 1,263,138
  4. Step 4: Simplify right side
    589,510x = 1,595,517,607,044
  5. Step 5: Solve for x
    x = 1,595,517,607,044/589,510
  6. Step 6: Final answer
    x = 2,706,514.91

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.