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Finding the Third Proportional to 816,087 and 1,224,130.50

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Solution

The third proportional to 816,087 and 1,224,130.50 is: 1,836,195.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    816,087 : 1,224,130.50 = 1,224,130.50 : x
  2. Step 2: Convert to fraction form
    816,087/1,224,130.50 = 1,224,130.50/x
  3. Step 3: Cross multiply
    816,087x = 1,224,130.50 × 1,224,130.50
  4. Step 4: Simplify right side
    816,087x = 1,498,495,481,030.25
  5. Step 5: Solve for x
    x = 1,498,495,481,030.25/816,087
  6. Step 6: Final answer
    x = 1,836,195.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.