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Finding the Third Proportional to 485,538,774 and 709,874,664

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Solution

The third proportional to 485,538,774 and 709,874,664 is: 1,037,861,578.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,538,774 : 709,874,664 = 709,874,664 : x
  2. Step 2: Convert to fraction form
    485,538,774/709,874,664 = 709,874,664/x
  3. Step 3: Cross multiply
    485,538,774x = 709,874,664 × 709,874,664
  4. Step 4: Simplify right side
    485,538,774x = 503,922,038,589,112,896
  5. Step 5: Solve for x
    x = 503,922,038,589,112,896/485,538,774
  6. Step 6: Final answer
    x = 1,037,861,578.88

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.