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Finding the Third Proportional to 873,409 and 1,900,590.50

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Solution

The third proportional to 873,409 and 1,900,590.50 is: 4,135,799.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    873,409 : 1,900,590.50 = 1,900,590.50 : x
  2. Step 2: Convert to fraction form
    873,409/1,900,590.50 = 1,900,590.50/x
  3. Step 3: Cross multiply
    873,409x = 1,900,590.50 × 1,900,590.50
  4. Step 4: Simplify right side
    873,409x = 3,612,244,248,690.25
  5. Step 5: Solve for x
    x = 3,612,244,248,690.25/873,409
  6. Step 6: Final answer
    x = 4,135,799.21

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.