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Finding the Third Proportional to 846,471 and 1,809,417

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Solution

The third proportional to 846,471 and 1,809,417 is: 3,867,811.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    846,471 : 1,809,417 = 1,809,417 : x
  2. Step 2: Convert to fraction form
    846,471/1,809,417 = 1,809,417/x
  3. Step 3: Cross multiply
    846,471x = 1,809,417 × 1,809,417
  4. Step 4: Simplify right side
    846,471x = 3,273,989,879,889
  5. Step 5: Solve for x
    x = 3,273,989,879,889/846,471
  6. Step 6: Final answer
    x = 3,867,811.04

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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.