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Finding the Third Proportional to 654,706 and 1,412,696

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Solution

The third proportional to 654,706 and 1,412,696 is: 3,048,253.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,706 : 1,412,696 = 1,412,696 : x
  2. Step 2: Convert to fraction form
    654,706/1,412,696 = 1,412,696/x
  3. Step 3: Cross multiply
    654,706x = 1,412,696 × 1,412,696
  4. Step 4: Simplify right side
    654,706x = 1,995,709,988,416
  5. Step 5: Solve for x
    x = 1,995,709,988,416/654,706
  6. Step 6: Final answer
    x = 3,048,253.70

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.