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Finding the Third Proportional to 477,442 and 1,050,836

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Solution

The third proportional to 477,442 and 1,050,836 is: 2,312,859.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,442 : 1,050,836 = 1,050,836 : x
  2. Step 2: Convert to fraction form
    477,442/1,050,836 = 1,050,836/x
  3. Step 3: Cross multiply
    477,442x = 1,050,836 × 1,050,836
  4. Step 4: Simplify right side
    477,442x = 1,104,256,298,896
  5. Step 5: Solve for x
    x = 1,104,256,298,896/477,442
  6. Step 6: Final answer
    x = 2,312,859.57

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.