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Finding the Third Proportional to 429,456 and 935,056

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Solution

The third proportional to 429,456 and 935,056 is: 2,035,900.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,456 : 935,056 = 935,056 : x
  2. Step 2: Convert to fraction form
    429,456/935,056 = 935,056/x
  3. Step 3: Cross multiply
    429,456x = 935,056 × 935,056
  4. Step 4: Simplify right side
    429,456x = 874,329,723,136
  5. Step 5: Solve for x
    x = 874,329,723,136/429,456
  6. Step 6: Final answer
    x = 2,035,900.59

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.