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Finding the Third Proportional to 2,152,800 and 4,528,656

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Solution

The third proportional to 2,152,800 and 4,528,656 is: 9,526,535.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,152,800 : 4,528,656 = 4,528,656 : x
  2. Step 2: Convert to fraction form
    2,152,800/4,528,656 = 4,528,656/x
  3. Step 3: Cross multiply
    2,152,800x = 4,528,656 × 4,528,656
  4. Step 4: Simplify right side
    2,152,800x = 20,508,725,166,336
  5. Step 5: Solve for x
    x = 20,508,725,166,336/2,152,800
  6. Step 6: Final answer
    x = 9,526,535.29

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.