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Finding the Third Proportional to 846,741 and 1,826,430

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Solution

The third proportional to 846,741 and 1,826,430 is: 3,939,630.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    846,741 : 1,826,430 = 1,826,430 : x
  2. Step 2: Convert to fraction form
    846,741/1,826,430 = 1,826,430/x
  3. Step 3: Cross multiply
    846,741x = 1,826,430 × 1,826,430
  4. Step 4: Simplify right side
    846,741x = 3,335,846,544,900
  5. Step 5: Solve for x
    x = 3,335,846,544,900/846,741
  6. Step 6: Final answer
    x = 3,939,630.35

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