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Finding the Third Proportional to 864,542 and 1,389,072

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Solution

The third proportional to 864,542 and 1,389,072 is: 2,231,841.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    864,542 : 1,389,072 = 1,389,072 : x
  2. Step 2: Convert to fraction form
    864,542/1,389,072 = 1,389,072/x
  3. Step 3: Cross multiply
    864,542x = 1,389,072 × 1,389,072
  4. Step 4: Simplify right side
    864,542x = 1,929,521,021,184
  5. Step 5: Solve for x
    x = 1,929,521,021,184/864,542
  6. Step 6: Final answer
    x = 2,231,841.86

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.