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Finding the Third Proportional to 1,880,256 and 2,864,448

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Solution

The third proportional to 1,880,256 and 2,864,448 is: 4,363,800.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,880,256 : 2,864,448 = 2,864,448 : x
  2. Step 2: Convert to fraction form
    1,880,256/2,864,448 = 2,864,448/x
  3. Step 3: Cross multiply
    1,880,256x = 2,864,448 × 2,864,448
  4. Step 4: Simplify right side
    1,880,256x = 8,205,062,344,704
  5. Step 5: Solve for x
    x = 8,205,062,344,704/1,880,256
  6. Step 6: Final answer
    x = 4,363,800.64

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.