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Finding the Third Proportional to 466,410 and 1,030,830

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Solution

The third proportional to 466,410 and 1,030,830 is: 2,278,275.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,410 : 1,030,830 = 1,030,830 : x
  2. Step 2: Convert to fraction form
    466,410/1,030,830 = 1,030,830/x
  3. Step 3: Cross multiply
    466,410x = 1,030,830 × 1,030,830
  4. Step 4: Simplify right side
    466,410x = 1,062,610,488,900
  5. Step 5: Solve for x
    x = 1,062,610,488,900/466,410
  6. Step 6: Final answer
    x = 2,278,275.53

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.