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Finding the Third Proportional to 429,712 and 936,454

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Solution

The third proportional to 429,712 and 936,454 is: 2,040,776.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,712 : 936,454 = 936,454 : x
  2. Step 2: Convert to fraction form
    429,712/936,454 = 936,454/x
  3. Step 3: Cross multiply
    429,712x = 936,454 × 936,454
  4. Step 4: Simplify right side
    429,712x = 876,946,094,116
  5. Step 5: Solve for x
    x = 876,946,094,116/429,712
  6. Step 6: Final answer
    x = 2,040,776.37

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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.