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Finding the Third Proportional to 429,516 and 929,826

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Solution

The third proportional to 429,516 and 929,826 is: 2,012,908.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,516 : 929,826 = 929,826 : x
  2. Step 2: Convert to fraction form
    429,516/929,826 = 929,826/x
  3. Step 3: Cross multiply
    429,516x = 929,826 × 929,826
  4. Step 4: Simplify right side
    429,516x = 864,576,390,276
  5. Step 5: Solve for x
    x = 864,576,390,276/429,516
  6. Step 6: Final answer
    x = 2,012,908.46

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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.