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Finding the Third Proportional to 952,236 and 1,475,658

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Solution

The third proportional to 952,236 and 1,475,658 is: 2,286,792.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    952,236 : 1,475,658 = 1,475,658 : x
  2. Step 2: Convert to fraction form
    952,236/1,475,658 = 1,475,658/x
  3. Step 3: Cross multiply
    952,236x = 1,475,658 × 1,475,658
  4. Step 4: Simplify right side
    952,236x = 2,177,566,532,964
  5. Step 5: Solve for x
    x = 2,177,566,532,964/952,236
  6. Step 6: Final answer
    x = 2,286,792.91

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Why These Related Problems?

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