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Finding the Third Proportional to 429,606 and 929,898

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Solution

The third proportional to 429,606 and 929,898 is: 2,012,798.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,606 : 929,898 = 929,898 : x
  2. Step 2: Convert to fraction form
    429,606/929,898 = 929,898/x
  3. Step 3: Cross multiply
    429,606x = 929,898 × 929,898
  4. Step 4: Simplify right side
    429,606x = 864,710,290,404
  5. Step 5: Solve for x
    x = 864,710,290,404/429,606
  6. Step 6: Final answer
    x = 2,012,798.45

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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.