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Finding the Third Proportional to 870,006 and 1,225,176

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Solution

The third proportional to 870,006 and 1,225,176 is: 1,725,340.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    870,006 : 1,225,176 = 1,225,176 : x
  2. Step 2: Convert to fraction form
    870,006/1,225,176 = 1,225,176/x
  3. Step 3: Cross multiply
    870,006x = 1,225,176 × 1,225,176
  4. Step 4: Simplify right side
    870,006x = 1,501,056,230,976
  5. Step 5: Solve for x
    x = 1,501,056,230,976/870,006
  6. Step 6: Final answer
    x = 1,725,340.09

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.