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Finding the Third Proportional to 757,574 and 1,683,308

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Solution

The third proportional to 757,574 and 1,683,308 is: 3,740,262.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    757,574 : 1,683,308 = 1,683,308 : x
  2. Step 2: Convert to fraction form
    757,574/1,683,308 = 1,683,308/x
  3. Step 3: Cross multiply
    757,574x = 1,683,308 × 1,683,308
  4. Step 4: Simplify right side
    757,574x = 2,833,525,822,864
  5. Step 5: Solve for x
    x = 2,833,525,822,864/757,574
  6. Step 6: Final answer
    x = 3,740,262.76

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.