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Finding the Third Proportional to 916,281 and 1,472,917.50

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Solution

The third proportional to 916,281 and 1,472,917.50 is: 2,367,708.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    916,281 : 1,472,917.50 = 1,472,917.50 : x
  2. Step 2: Convert to fraction form
    916,281/1,472,917.50 = 1,472,917.50/x
  3. Step 3: Cross multiply
    916,281x = 1,472,917.50 × 1,472,917.50
  4. Step 4: Simplify right side
    916,281x = 2,169,485,961,806.25
  5. Step 5: Solve for x
    x = 2,169,485,961,806.25/916,281
  6. Step 6: Final answer
    x = 2,367,708.12

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.