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Finding the Third Proportional to 673,086,268 and 1,033,942,920

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Solution

The third proportional to 673,086,268 and 1,033,942,920 is: 1,588,262,920.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    673,086,268 : 1,033,942,920 = 1,033,942,920 : x
  2. Step 2: Convert to fraction form
    673,086,268/1,033,942,920 = 1,033,942,920/x
  3. Step 3: Cross multiply
    673,086,268x = 1,033,942,920 × 1,033,942,920
  4. Step 4: Simplify right side
    673,086,268x = 1,069,037,961,818,126,336
  5. Step 5: Solve for x
    x = 1,069,037,961,818,126,336/673,086,268
  6. Step 6: Final answer
    x = 1,588,262,920.58

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.