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Finding the Third Proportional to 245,451,406 and 545,386,450

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Solution

The third proportional to 245,451,406 and 545,386,450 is: 1,211,834,084.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,451,406 : 545,386,450 = 545,386,450 : x
  2. Step 2: Convert to fraction form
    245,451,406/545,386,450 = 545,386,450/x
  3. Step 3: Cross multiply
    245,451,406x = 545,386,450 × 545,386,450
  4. Step 4: Simplify right side
    245,451,406x = 297,446,379,843,602,496
  5. Step 5: Solve for x
    x = 297,446,379,843,602,496/245,451,406
  6. Step 6: Final answer
    x = 1,211,834,084.35

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.