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Finding the Third Proportional to 429,060 and 931,929

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Solution

The third proportional to 429,060 and 931,929 is: 2,024,172.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,060 : 931,929 = 931,929 : x
  2. Step 2: Convert to fraction form
    429,060/931,929 = 931,929/x
  3. Step 3: Cross multiply
    429,060x = 931,929 × 931,929
  4. Step 4: Simplify right side
    429,060x = 868,491,661,041
  5. Step 5: Solve for x
    x = 868,491,661,041/429,060
  6. Step 6: Final answer
    x = 2,024,172.99

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.