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Finding the Third Proportional to 1,137,688 and 2,457,824

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Solution

The third proportional to 1,137,688 and 2,457,824 is: 5,309,802.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,137,688 : 2,457,824 = 2,457,824 : x
  2. Step 2: Convert to fraction form
    1,137,688/2,457,824 = 2,457,824/x
  3. Step 3: Cross multiply
    1,137,688x = 2,457,824 × 2,457,824
  4. Step 4: Simplify right side
    1,137,688x = 6,040,898,814,976
  5. Step 5: Solve for x
    x = 6,040,898,814,976/1,137,688
  6. Step 6: Final answer
    x = 5,309,802.70

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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.