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Finding the Third Proportional to 929,993.06 and 1,316,302.31

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Solution

The third proportional to 929,993.06 and 1,316,302.31 is: 1,863,080.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    929,993.06 : 1,316,302.31 = 1,316,302.31 : x
  2. Step 2: Convert to fraction form
    929,993.06/1,316,302.31 = 1,316,302.31/x
  3. Step 3: Cross multiply
    929,993.06x = 1,316,302.31 × 1,316,302.31
  4. Step 4: Simplify right side
    929,993.06x = 1,732,651,777,892.85
  5. Step 5: Solve for x
    x = 1,732,651,777,892.85/929,993.06
  6. Step 6: Final answer
    x = 1,863,080.33

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.