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Finding the Third Proportional to 1,683,657.14 and 3,693,240.56

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Solution

The third proportional to 1,683,657.14 and 3,693,240.56 is: 8,101,427.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,683,657.14 : 3,693,240.56 = 3,693,240.56 : x
  2. Step 2: Convert to fraction form
    1,683,657.14/3,693,240.56 = 3,693,240.56/x
  3. Step 3: Cross multiply
    1,683,657.14x = 3,693,240.56 × 3,693,240.56
  4. Step 4: Simplify right side
    1,683,657.14x = 13,640,025,852,495.32
  5. Step 5: Solve for x
    x = 13,640,025,852,495.32/1,683,657.14
  6. Step 6: Final answer
    x = 8,101,427.26

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Why These Related Problems?

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