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Finding the Third Proportional to 429,046 and 931,899

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Solution

The third proportional to 429,046 and 931,899 is: 2,024,108.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,046 : 931,899 = 931,899 : x
  2. Step 2: Convert to fraction form
    429,046/931,899 = 931,899/x
  3. Step 3: Cross multiply
    429,046x = 931,899 × 931,899
  4. Step 4: Simplify right side
    429,046x = 868,435,746,201
  5. Step 5: Solve for x
    x = 868,435,746,201/429,046
  6. Step 6: Final answer
    x = 2,024,108.71

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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.