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Finding the Third Proportional to 1,061,696 and 1,688,721

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Solution

The third proportional to 1,061,696 and 1,688,721 is: 2,686,059.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,061,696 : 1,688,721 = 1,688,721 : x
  2. Step 2: Convert to fraction form
    1,061,696/1,688,721 = 1,688,721/x
  3. Step 3: Cross multiply
    1,061,696x = 1,688,721 × 1,688,721
  4. Step 4: Simplify right side
    1,061,696x = 2,851,778,615,841
  5. Step 5: Solve for x
    x = 2,851,778,615,841/1,061,696
  6. Step 6: Final answer
    x = 2,686,059.49

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