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Finding the Third Proportional to 746,788,942 and 1,078,888,167

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Solution

The third proportional to 746,788,942 and 1,078,888,167 is: 1,558,672,887.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    746,788,942 : 1,078,888,167 = 1,078,888,167 : x
  2. Step 2: Convert to fraction form
    746,788,942/1,078,888,167 = 1,078,888,167/x
  3. Step 3: Cross multiply
    746,788,942x = 1,078,888,167 × 1,078,888,167
  4. Step 4: Simplify right side
    746,788,942x = 1,163,999,676,892,619,776
  5. Step 5: Solve for x
    x = 1,163,999,676,892,619,776/746,788,942
  6. Step 6: Final answer
    x = 1,558,672,887.92

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.