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Finding the Third Proportional to 2,145,696 and 4,639,854

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Solution

The third proportional to 2,145,696 and 4,639,854 is: 10,033,222.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,145,696 : 4,639,854 = 4,639,854 : x
  2. Step 2: Convert to fraction form
    2,145,696/4,639,854 = 4,639,854/x
  3. Step 3: Cross multiply
    2,145,696x = 4,639,854 × 4,639,854
  4. Step 4: Simplify right side
    2,145,696x = 21,528,245,141,316
  5. Step 5: Solve for x
    x = 21,528,245,141,316/2,145,696
  6. Step 6: Final answer
    x = 10,033,222.39

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.