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Finding the Third Proportional to 733,431 and 1,167,033

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Solution

The third proportional to 733,431 and 1,167,033 is: 1,856,979.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    733,431 : 1,167,033 = 1,167,033 : x
  2. Step 2: Convert to fraction form
    733,431/1,167,033 = 1,167,033/x
  3. Step 3: Cross multiply
    733,431x = 1,167,033 × 1,167,033
  4. Step 4: Simplify right side
    733,431x = 1,361,966,023,089
  5. Step 5: Solve for x
    x = 1,361,966,023,089/733,431
  6. Step 6: Final answer
    x = 1,856,979.08

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.