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Finding the Third Proportional to 415,866 and 846,804

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Solution

The third proportional to 415,866 and 846,804 is: 1,724,298.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,866 : 846,804 = 846,804 : x
  2. Step 2: Convert to fraction form
    415,866/846,804 = 846,804/x
  3. Step 3: Cross multiply
    415,866x = 846,804 × 846,804
  4. Step 4: Simplify right side
    415,866x = 717,077,014,416
  5. Step 5: Solve for x
    x = 717,077,014,416/415,866
  6. Step 6: Final answer
    x = 1,724,298.25

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.