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Finding the Third Proportional to 878,256 and 1,889,664

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Solution

The third proportional to 878,256 and 1,889,664 is: 4,065,819.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    878,256 : 1,889,664 = 1,889,664 : x
  2. Step 2: Convert to fraction form
    878,256/1,889,664 = 1,889,664/x
  3. Step 3: Cross multiply
    878,256x = 1,889,664 × 1,889,664
  4. Step 4: Simplify right side
    878,256x = 3,570,830,032,896
  5. Step 5: Solve for x
    x = 3,570,830,032,896/878,256
  6. Step 6: Final answer
    x = 4,065,819.12

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.