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Finding the Third Proportional to 828,901 and 1,216,153.50

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Solution

The third proportional to 828,901 and 1,216,153.50 is: 1,784,325.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    828,901 : 1,216,153.50 = 1,216,153.50 : x
  2. Step 2: Convert to fraction form
    828,901/1,216,153.50 = 1,216,153.50/x
  3. Step 3: Cross multiply
    828,901x = 1,216,153.50 × 1,216,153.50
  4. Step 4: Simplify right side
    828,901x = 1,479,029,335,562.25
  5. Step 5: Solve for x
    x = 1,479,029,335,562.25/828,901
  6. Step 6: Final answer
    x = 1,784,325.67

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.