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Finding the Third Proportional to 803,524 and 1,215,653.50

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Solution

The third proportional to 803,524 and 1,215,653.50 is: 1,839,165.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    803,524 : 1,215,653.50 = 1,215,653.50 : x
  2. Step 2: Convert to fraction form
    803,524/1,215,653.50 = 1,215,653.50/x
  3. Step 3: Cross multiply
    803,524x = 1,215,653.50 × 1,215,653.50
  4. Step 4: Simplify right side
    803,524x = 1,477,813,432,062.25
  5. Step 5: Solve for x
    x = 1,477,813,432,062.25/803,524
  6. Step 6: Final answer
    x = 1,839,165.27

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.