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Finding the Third Proportional to 873,412 and 1,900,597

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Solution

The third proportional to 873,412 and 1,900,597 is: 4,135,813.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    873,412 : 1,900,597 = 1,900,597 : x
  2. Step 2: Convert to fraction form
    873,412/1,900,597 = 1,900,597/x
  3. Step 3: Cross multiply
    873,412x = 1,900,597 × 1,900,597
  4. Step 4: Simplify right side
    873,412x = 3,612,268,956,409
  5. Step 5: Solve for x
    x = 3,612,268,956,409/873,412
  6. Step 6: Final answer
    x = 4,135,813.29

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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.