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Finding the Third Proportional to 696,199,905 and 1,044,299,983

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Solution

The third proportional to 696,199,905 and 1,044,299,983 is: 1,566,450,162.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    696,199,905 : 1,044,299,983 = 1,044,299,983 : x
  2. Step 2: Convert to fraction form
    696,199,905/1,044,299,983 = 1,044,299,983/x
  3. Step 3: Cross multiply
    696,199,905x = 1,044,299,983 × 1,044,299,983
  4. Step 4: Simplify right side
    696,199,905x = 1,090,562,454,493,800,320
  5. Step 5: Solve for x
    x = 1,090,562,454,493,800,320/696,199,905
  6. Step 6: Final answer
    x = 1,566,450,162.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.