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Finding the Third Proportional to 4,712,820 and 7,206,301

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Solution

The third proportional to 4,712,820 and 7,206,301 is: 11,019,044.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,712,820 : 7,206,301 = 7,206,301 : x
  2. Step 2: Convert to fraction form
    4,712,820/7,206,301 = 7,206,301/x
  3. Step 3: Cross multiply
    4,712,820x = 7,206,301 × 7,206,301
  4. Step 4: Simplify right side
    4,712,820x = 51,930,774,102,601
  5. Step 5: Solve for x
    x = 51,930,774,102,601/4,712,820
  6. Step 6: Final answer
    x = 11,019,044.67

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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.