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Finding the Third Proportional to 1,688,271 and 3,696,729

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Solution

The third proportional to 1,688,271 and 3,696,729 is: 8,094,556.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,688,271 : 3,696,729 = 3,696,729 : x
  2. Step 2: Convert to fraction form
    1,688,271/3,696,729 = 3,696,729/x
  3. Step 3: Cross multiply
    1,688,271x = 3,696,729 × 3,696,729
  4. Step 4: Simplify right side
    1,688,271x = 13,665,805,299,441
  5. Step 5: Solve for x
    x = 13,665,805,299,441/1,688,271
  6. Step 6: Final answer
    x = 8,094,556.68

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.