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Finding the Third Proportional to 1,733,301 and 3,864,909

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Solution

The third proportional to 1,733,301 and 3,864,909 is: 8,617,961.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,733,301 : 3,864,909 = 3,864,909 : x
  2. Step 2: Convert to fraction form
    1,733,301/3,864,909 = 3,864,909/x
  3. Step 3: Cross multiply
    1,733,301x = 3,864,909 × 3,864,909
  4. Step 4: Simplify right side
    1,733,301x = 14,937,521,578,281
  5. Step 5: Solve for x
    x = 14,937,521,578,281/1,733,301
  6. Step 6: Final answer
    x = 8,617,961.67

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.