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Finding the Third Proportional to 938,854 and 1,412,763

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Solution

The third proportional to 938,854 and 1,412,763 is: 2,125,888.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    938,854 : 1,412,763 = 1,412,763 : x
  2. Step 2: Convert to fraction form
    938,854/1,412,763 = 1,412,763/x
  3. Step 3: Cross multiply
    938,854x = 1,412,763 × 1,412,763
  4. Step 4: Simplify right side
    938,854x = 1,995,899,294,169
  5. Step 5: Solve for x
    x = 1,995,899,294,169/938,854
  6. Step 6: Final answer
    x = 2,125,888.90

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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.