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Finding the Third Proportional to 466,159 and 1,020,905

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Solution

The third proportional to 466,159 and 1,020,905 is: 2,235,818.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,159 : 1,020,905 = 1,020,905 : x
  2. Step 2: Convert to fraction form
    466,159/1,020,905 = 1,020,905/x
  3. Step 3: Cross multiply
    466,159x = 1,020,905 × 1,020,905
  4. Step 4: Simplify right side
    466,159x = 1,042,247,019,025
  5. Step 5: Solve for x
    x = 1,042,247,019,025/466,159
  6. Step 6: Final answer
    x = 2,235,818.72

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.