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Finding the Third Proportional to 952,916 and 1,429,696

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Solution

The third proportional to 952,916 and 1,429,696 is: 2,145,027.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    952,916 : 1,429,696 = 1,429,696 : x
  2. Step 2: Convert to fraction form
    952,916/1,429,696 = 1,429,696/x
  3. Step 3: Cross multiply
    952,916x = 1,429,696 × 1,429,696
  4. Step 4: Simplify right side
    952,916x = 2,044,030,652,416
  5. Step 5: Solve for x
    x = 2,044,030,652,416/952,916
  6. Step 6: Final answer
    x = 2,145,027.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.