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Finding the Third Proportional to 841,854 and 1,263,741

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Solution

The third proportional to 841,854 and 1,263,741 is: 1,897,052.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    841,854 : 1,263,741 = 1,263,741 : x
  2. Step 2: Convert to fraction form
    841,854/1,263,741 = 1,263,741/x
  3. Step 3: Cross multiply
    841,854x = 1,263,741 × 1,263,741
  4. Step 4: Simplify right side
    841,854x = 1,597,041,315,081
  5. Step 5: Solve for x
    x = 1,597,041,315,081/841,854
  6. Step 6: Final answer
    x = 1,897,052.59

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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.