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Finding the Third Proportional to 508,723,904 and 1,101,961,806

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Solution

The third proportional to 508,723,904 and 1,101,961,806 is: 2,386,991,867.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,723,904 : 1,101,961,806 = 1,101,961,806 : x
  2. Step 2: Convert to fraction form
    508,723,904/1,101,961,806 = 1,101,961,806/x
  3. Step 3: Cross multiply
    508,723,904x = 1,101,961,806 × 1,101,961,806
  4. Step 4: Simplify right side
    508,723,904x = 1,214,319,821,882,781,696
  5. Step 5: Solve for x
    x = 1,214,319,821,882,781,696/508,723,904
  6. Step 6: Final answer
    x = 2,386,991,867.96

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.