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Finding the Third Proportional to 963,924 and 2,093,782.50

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Solution

The third proportional to 963,924 and 2,093,782.50 is: 4,547,998.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    963,924 : 2,093,782.50 = 2,093,782.50 : x
  2. Step 2: Convert to fraction form
    963,924/2,093,782.50 = 2,093,782.50/x
  3. Step 3: Cross multiply
    963,924x = 2,093,782.50 × 2,093,782.50
  4. Step 4: Simplify right side
    963,924x = 4,383,925,157,306.25
  5. Step 5: Solve for x
    x = 4,383,925,157,306.25/963,924
  6. Step 6: Final answer
    x = 4,547,998.76

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.