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Finding the Third Proportional to 938,880 and 1,412,820

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Solution

The third proportional to 938,880 and 1,412,820 is: 2,126,001.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    938,880 : 1,412,820 = 1,412,820 : x
  2. Step 2: Convert to fraction form
    938,880/1,412,820 = 1,412,820/x
  3. Step 3: Cross multiply
    938,880x = 1,412,820 × 1,412,820
  4. Step 4: Simplify right side
    938,880x = 1,996,060,352,400
  5. Step 5: Solve for x
    x = 1,996,060,352,400/938,880
  6. Step 6: Final answer
    x = 2,126,001.57

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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.