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Finding the Third Proportional to 1,431,458 and 3,111,410

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Solution

The third proportional to 1,431,458 and 3,111,410 is: 6,762,945.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,431,458 : 3,111,410 = 3,111,410 : x
  2. Step 2: Convert to fraction form
    1,431,458/3,111,410 = 3,111,410/x
  3. Step 3: Cross multiply
    1,431,458x = 3,111,410 × 3,111,410
  4. Step 4: Simplify right side
    1,431,458x = 9,680,872,188,100
  5. Step 5: Solve for x
    x = 9,680,872,188,100/1,431,458
  6. Step 6: Final answer
    x = 6,762,945.32

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.