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Finding the Third Proportional to 1,683,688 and 2,567,569

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Solution

The third proportional to 1,683,688 and 2,567,569 is: 3,915,458.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,683,688 : 2,567,569 = 2,567,569 : x
  2. Step 2: Convert to fraction form
    1,683,688/2,567,569 = 2,567,569/x
  3. Step 3: Cross multiply
    1,683,688x = 2,567,569 × 2,567,569
  4. Step 4: Simplify right side
    1,683,688x = 6,592,410,569,761
  5. Step 5: Solve for x
    x = 6,592,410,569,761/1,683,688
  6. Step 6: Final answer
    x = 3,915,458.55

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.