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Finding the Third Proportional to 1,137,456 and 2,457,324

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Solution

The third proportional to 1,137,456 and 2,457,324 is: 5,308,725.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,137,456 : 2,457,324 = 2,457,324 : x
  2. Step 2: Convert to fraction form
    1,137,456/2,457,324 = 2,457,324/x
  3. Step 3: Cross multiply
    1,137,456x = 2,457,324 × 2,457,324
  4. Step 4: Simplify right side
    1,137,456x = 6,038,441,240,976
  5. Step 5: Solve for x
    x = 6,038,441,240,976/1,137,456
  6. Step 6: Final answer
    x = 5,308,725.12

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.