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Finding the Third Proportional to 429,555 and 929,904

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Solution

The third proportional to 429,555 and 929,904 is: 2,013,063.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,555 : 929,904 = 929,904 : x
  2. Step 2: Convert to fraction form
    429,555/929,904 = 929,904/x
  3. Step 3: Cross multiply
    429,555x = 929,904 × 929,904
  4. Step 4: Simplify right side
    429,555x = 864,721,449,216
  5. Step 5: Solve for x
    x = 864,721,449,216/429,555
  6. Step 6: Final answer
    x = 2,013,063.40

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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.