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Finding the Third Proportional to 814,322 and 1,762,683.50

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Solution

The third proportional to 814,322 and 1,762,683.50 is: 3,815,509.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    814,322 : 1,762,683.50 = 1,762,683.50 : x
  2. Step 2: Convert to fraction form
    814,322/1,762,683.50 = 1,762,683.50/x
  3. Step 3: Cross multiply
    814,322x = 1,762,683.50 × 1,762,683.50
  4. Step 4: Simplify right side
    814,322x = 3,107,053,121,172.25
  5. Step 5: Solve for x
    x = 3,107,053,121,172.25/814,322
  6. Step 6: Final answer
    x = 3,815,509.25

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.