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Finding the Third Proportional to 899,322 and 1,926,847.50

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Solution

The third proportional to 899,322 and 1,926,847.50 is: 4,128,378.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    899,322 : 1,926,847.50 = 1,926,847.50 : x
  2. Step 2: Convert to fraction form
    899,322/1,926,847.50 = 1,926,847.50/x
  3. Step 3: Cross multiply
    899,322x = 1,926,847.50 × 1,926,847.50
  4. Step 4: Simplify right side
    899,322x = 3,712,741,288,256.25
  5. Step 5: Solve for x
    x = 3,712,741,288,256.25/899,322
  6. Step 6: Final answer
    x = 4,128,378.14

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.