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Finding the Third Proportional to 1,165,374 and 2,562,014

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Solution

The third proportional to 1,165,374 and 2,562,014 is: 5,632,454.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,165,374 : 2,562,014 = 2,562,014 : x
  2. Step 2: Convert to fraction form
    1,165,374/2,562,014 = 2,562,014/x
  3. Step 3: Cross multiply
    1,165,374x = 2,562,014 × 2,562,014
  4. Step 4: Simplify right side
    1,165,374x = 6,563,915,736,196
  5. Step 5: Solve for x
    x = 6,563,915,736,196/1,165,374
  6. Step 6: Final answer
    x = 5,632,454.25

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.