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Finding the Third Proportional to 1,238,728 and 1,810,316

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Solution

The third proportional to 1,238,728 and 1,810,316 is: 2,645,652.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,238,728 : 1,810,316 = 1,810,316 : x
  2. Step 2: Convert to fraction form
    1,238,728/1,810,316 = 1,810,316/x
  3. Step 3: Cross multiply
    1,238,728x = 1,810,316 × 1,810,316
  4. Step 4: Simplify right side
    1,238,728x = 3,277,244,019,856
  5. Step 5: Solve for x
    x = 3,277,244,019,856/1,238,728
  6. Step 6: Final answer
    x = 2,645,652.65

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.