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Finding the Third Proportional to 971,199 and 2,268,400.50

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Solution

The third proportional to 971,199 and 2,268,400.50 is: 5,298,235.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    971,199 : 2,268,400.50 = 2,268,400.50 : x
  2. Step 2: Convert to fraction form
    971,199/2,268,400.50 = 2,268,400.50/x
  3. Step 3: Cross multiply
    971,199x = 2,268,400.50 × 2,268,400.50
  4. Step 4: Simplify right side
    971,199x = 5,145,640,828,400.25
  5. Step 5: Solve for x
    x = 5,145,640,828,400.25/971,199
  6. Step 6: Final answer
    x = 5,298,235.30

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.