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Finding the Third Proportional to 897,584 and 1,921,256

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Solution

The third proportional to 897,584 and 1,921,256 is: 4,112,400.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    897,584 : 1,921,256 = 1,921,256 : x
  2. Step 2: Convert to fraction form
    897,584/1,921,256 = 1,921,256/x
  3. Step 3: Cross multiply
    897,584x = 1,921,256 × 1,921,256
  4. Step 4: Simplify right side
    897,584x = 3,691,224,617,536
  5. Step 5: Solve for x
    x = 3,691,224,617,536/897,584
  6. Step 6: Final answer
    x = 4,112,400.20

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.