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Finding the Third Proportional to 1,302,747.05 and 2,870,531.16

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Solution

The third proportional to 1,302,747.05 and 2,870,531.16 is: 6,325,056.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,302,747.05 : 2,870,531.16 = 2,870,531.16 : x
  2. Step 2: Convert to fraction form
    1,302,747.05/2,870,531.16 = 2,870,531.16/x
  3. Step 3: Cross multiply
    1,302,747.05x = 2,870,531.16 × 2,870,531.16
  4. Step 4: Simplify right side
    1,302,747.05x = 8,239,949,119,001.96
  5. Step 5: Solve for x
    x = 8,239,949,119,001.96/1,302,747.05
  6. Step 6: Final answer
    x = 6,325,056.84

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.