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Finding the Third Proportional to 1,410,176 and 2,148,312

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Solution

The third proportional to 1,410,176 and 2,148,312 is: 3,272,814.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,410,176 : 2,148,312 = 2,148,312 : x
  2. Step 2: Convert to fraction form
    1,410,176/2,148,312 = 2,148,312/x
  3. Step 3: Cross multiply
    1,410,176x = 2,148,312 × 2,148,312
  4. Step 4: Simplify right side
    1,410,176x = 4,615,244,449,344
  5. Step 5: Solve for x
    x = 4,615,244,449,344/1,410,176
  6. Step 6: Final answer
    x = 3,272,814.49

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.