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Finding the Third Proportional to 733,464 and 1,167,090

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Solution

The third proportional to 733,464 and 1,167,090 is: 1,857,076.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    733,464 : 1,167,090 = 1,167,090 : x
  2. Step 2: Convert to fraction form
    733,464/1,167,090 = 1,167,090/x
  3. Step 3: Cross multiply
    733,464x = 1,167,090 × 1,167,090
  4. Step 4: Simplify right side
    733,464x = 1,362,099,068,100
  5. Step 5: Solve for x
    x = 1,362,099,068,100/733,464
  6. Step 6: Final answer
    x = 1,857,076.92

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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.