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Finding the Third Proportional to 774,099 and 1,172,812.50

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Solution

The third proportional to 774,099 and 1,172,812.50 is: 1,776,890.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    774,099 : 1,172,812.50 = 1,172,812.50 : x
  2. Step 2: Convert to fraction form
    774,099/1,172,812.50 = 1,172,812.50/x
  3. Step 3: Cross multiply
    774,099x = 1,172,812.50 × 1,172,812.50
  4. Step 4: Simplify right side
    774,099x = 1,375,489,160,156.25
  5. Step 5: Solve for x
    x = 1,375,489,160,156.25/774,099
  6. Step 6: Final answer
    x = 1,776,890.50

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.