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Finding the Third Proportional to 479,448 and 1,041,840

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Solution

The third proportional to 479,448 and 1,041,840 is: 2,263,917.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    479,448 : 1,041,840 = 1,041,840 : x
  2. Step 2: Convert to fraction form
    479,448/1,041,840 = 1,041,840/x
  3. Step 3: Cross multiply
    479,448x = 1,041,840 × 1,041,840
  4. Step 4: Simplify right side
    479,448x = 1,085,430,585,600
  5. Step 5: Solve for x
    x = 1,085,430,585,600/479,448
  6. Step 6: Final answer
    x = 2,263,917.22

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.