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Finding the Third Proportional to 429,492 and 915,858

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Solution

The third proportional to 429,492 and 915,858 is: 1,952,995.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,492 : 915,858 = 915,858 : x
  2. Step 2: Convert to fraction form
    429,492/915,858 = 915,858/x
  3. Step 3: Cross multiply
    429,492x = 915,858 × 915,858
  4. Step 4: Simplify right side
    429,492x = 838,795,876,164
  5. Step 5: Solve for x
    x = 838,795,876,164/429,492
  6. Step 6: Final answer
    x = 1,952,995.34

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.