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Finding the Third Proportional to 4,712,859 and 7,206,363

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Solution

The third proportional to 4,712,859 and 7,206,363 is: 11,019,143.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,712,859 : 7,206,363 = 7,206,363 : x
  2. Step 2: Convert to fraction form
    4,712,859/7,206,363 = 7,206,363/x
  3. Step 3: Cross multiply
    4,712,859x = 7,206,363 × 7,206,363
  4. Step 4: Simplify right side
    4,712,859x = 51,931,667,687,769
  5. Step 5: Solve for x
    x = 51,931,667,687,769/4,712,859
  6. Step 6: Final answer
    x = 11,019,143.09

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.