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Finding the Third Proportional to 428,945 and 928,498

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Solution

The third proportional to 428,945 and 928,498 is: 2,009,834.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,945 : 928,498 = 928,498 : x
  2. Step 2: Convert to fraction form
    428,945/928,498 = 928,498/x
  3. Step 3: Cross multiply
    428,945x = 928,498 × 928,498
  4. Step 4: Simplify right side
    428,945x = 862,108,536,004
  5. Step 5: Solve for x
    x = 862,108,536,004/428,945
  6. Step 6: Final answer
    x = 2,009,834.68

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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.