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Finding the Third Proportional to 417,416 and 901,530

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Solution

The third proportional to 417,416 and 901,530 is: 1,947,113.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,416 : 901,530 = 901,530 : x
  2. Step 2: Convert to fraction form
    417,416/901,530 = 901,530/x
  3. Step 3: Cross multiply
    417,416x = 901,530 × 901,530
  4. Step 4: Simplify right side
    417,416x = 812,756,340,900
  5. Step 5: Solve for x
    x = 812,756,340,900/417,416
  6. Step 6: Final answer
    x = 1,947,113.53

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.