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Finding the Third Proportional to 1,646,271 and 2,457,013.50

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Solution

The third proportional to 1,646,271 and 2,457,013.50 is: 3,667,024.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,646,271 : 2,457,013.50 = 2,457,013.50 : x
  2. Step 2: Convert to fraction form
    1,646,271/2,457,013.50 = 2,457,013.50/x
  3. Step 3: Cross multiply
    1,646,271x = 2,457,013.50 × 2,457,013.50
  4. Step 4: Simplify right side
    1,646,271x = 6,036,915,339,182.25
  5. Step 5: Solve for x
    x = 6,036,915,339,182.25/1,646,271
  6. Step 6: Final answer
    x = 3,667,024.04

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.