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Finding the Third Proportional to 870,285.66 and 1,330,442.72

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Solution

The third proportional to 870,285.66 and 1,330,442.72 is: 2,033,904.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    870,285.66 : 1,330,442.72 = 1,330,442.72 : x
  2. Step 2: Convert to fraction form
    870,285.66/1,330,442.72 = 1,330,442.72/x
  3. Step 3: Cross multiply
    870,285.66x = 1,330,442.72 × 1,330,442.72
  4. Step 4: Simplify right side
    870,285.66x = 1,770,077,827,874.89
  5. Step 5: Solve for x
    x = 1,770,077,827,874.89/870,285.66
  6. Step 6: Final answer
    x = 2,033,904.40

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.