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Finding the Third Proportional to 612,888 and 920,004

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Solution

The third proportional to 612,888 and 920,004 is: 1,381,014.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,888 : 920,004 = 920,004 : x
  2. Step 2: Convert to fraction form
    612,888/920,004 = 920,004/x
  3. Step 3: Cross multiply
    612,888x = 920,004 × 920,004
  4. Step 4: Simplify right side
    612,888x = 846,407,360,016
  5. Step 5: Solve for x
    x = 846,407,360,016/612,888
  6. Step 6: Final answer
    x = 1,381,014.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.