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Finding the Third Proportional to 898,857 and 1,925,653.50

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Solution

The third proportional to 898,857 and 1,925,653.50 is: 4,125,396.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    898,857 : 1,925,653.50 = 1,925,653.50 : x
  2. Step 2: Convert to fraction form
    898,857/1,925,653.50 = 1,925,653.50/x
  3. Step 3: Cross multiply
    898,857x = 1,925,653.50 × 1,925,653.50
  4. Step 4: Simplify right side
    898,857x = 3,708,141,402,062.25
  5. Step 5: Solve for x
    x = 3,708,141,402,062.25/898,857
  6. Step 6: Final answer
    x = 4,125,396.37

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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.