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Finding the Third Proportional to 899,218 and 1,925,984

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Solution

The third proportional to 899,218 and 1,925,984 is: 4,125,155.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    899,218 : 1,925,984 = 1,925,984 : x
  2. Step 2: Convert to fraction form
    899,218/1,925,984 = 1,925,984/x
  3. Step 3: Cross multiply
    899,218x = 1,925,984 × 1,925,984
  4. Step 4: Simplify right side
    899,218x = 3,709,414,368,256
  5. Step 5: Solve for x
    x = 3,709,414,368,256/899,218
  6. Step 6: Final answer
    x = 4,125,155.82

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Why These Related Problems?

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