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Finding the Third Proportional to 645,099.19 and 1,024,852.50

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Solution

The third proportional to 645,099.19 and 1,024,852.50 is: 1,628,156.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,099.19 : 1,024,852.50 = 1,024,852.50 : x
  2. Step 2: Convert to fraction form
    645,099.19/1,024,852.50 = 1,024,852.50/x
  3. Step 3: Cross multiply
    645,099.19x = 1,024,852.50 × 1,024,852.50
  4. Step 4: Simplify right side
    645,099.19x = 1,050,322,646,756.25
  5. Step 5: Solve for x
    x = 1,050,322,646,756.25/645,099.19
  6. Step 6: Final answer
    x = 1,628,156.83

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.