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Finding the Third Proportional to 835,497 and 1,218,037.50

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Solution

The third proportional to 835,497 and 1,218,037.50 is: 1,775,727.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    835,497 : 1,218,037.50 = 1,218,037.50 : x
  2. Step 2: Convert to fraction form
    835,497/1,218,037.50 = 1,218,037.50/x
  3. Step 3: Cross multiply
    835,497x = 1,218,037.50 × 1,218,037.50
  4. Step 4: Simplify right side
    835,497x = 1,483,615,351,406.25
  5. Step 5: Solve for x
    x = 1,483,615,351,406.25/835,497
  6. Step 6: Final answer
    x = 1,775,727.92

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.