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Finding the Third Proportional to 1,410,178 and 2,148,315

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Solution

The third proportional to 1,410,178 and 2,148,315 is: 3,272,818.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,410,178 : 2,148,315 = 2,148,315 : x
  2. Step 2: Convert to fraction form
    1,410,178/2,148,315 = 2,148,315/x
  3. Step 3: Cross multiply
    1,410,178x = 2,148,315 × 2,148,315
  4. Step 4: Simplify right side
    1,410,178x = 4,615,257,339,225
  5. Step 5: Solve for x
    x = 4,615,257,339,225/1,410,178
  6. Step 6: Final answer
    x = 3,272,818.99

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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.