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Finding the Third Proportional to 787,815 and 1,147,276.50

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Solution

The third proportional to 787,815 and 1,147,276.50 is: 1,670,751.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    787,815 : 1,147,276.50 = 1,147,276.50 : x
  2. Step 2: Convert to fraction form
    787,815/1,147,276.50 = 1,147,276.50/x
  3. Step 3: Cross multiply
    787,815x = 1,147,276.50 × 1,147,276.50
  4. Step 4: Simplify right side
    787,815x = 1,316,243,367,452.25
  5. Step 5: Solve for x
    x = 1,316,243,367,452.25/787,815
  6. Step 6: Final answer
    x = 1,670,751.85

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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.