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Finding the Third Proportional to 1,567,874 and 3,434,688

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Solution

The third proportional to 1,567,874 and 3,434,688 is: 7,524,253.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,567,874 : 3,434,688 = 3,434,688 : x
  2. Step 2: Convert to fraction form
    1,567,874/3,434,688 = 3,434,688/x
  3. Step 3: Cross multiply
    1,567,874x = 3,434,688 × 3,434,688
  4. Step 4: Simplify right side
    1,567,874x = 11,797,081,657,344
  5. Step 5: Solve for x
    x = 11,797,081,657,344/1,567,874
  6. Step 6: Final answer
    x = 7,524,253.64

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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.