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Finding the Third Proportional to 429,146 and 913,732

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Solution

The third proportional to 429,146 and 913,732 is: 1,945,506.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,146 : 913,732 = 913,732 : x
  2. Step 2: Convert to fraction form
    429,146/913,732 = 913,732/x
  3. Step 3: Cross multiply
    429,146x = 913,732 × 913,732
  4. Step 4: Simplify right side
    429,146x = 834,906,167,824
  5. Step 5: Solve for x
    x = 834,906,167,824/429,146
  6. Step 6: Final answer
    x = 1,945,506.12

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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.