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Finding the Third Proportional to 870,520 and 1,917,584

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Solution

The third proportional to 870,520 and 1,917,584 is: 4,224,059.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    870,520 : 1,917,584 = 1,917,584 : x
  2. Step 2: Convert to fraction form
    870,520/1,917,584 = 1,917,584/x
  3. Step 3: Cross multiply
    870,520x = 1,917,584 × 1,917,584
  4. Step 4: Simplify right side
    870,520x = 3,677,128,397,056
  5. Step 5: Solve for x
    x = 3,677,128,397,056/870,520
  6. Step 6: Final answer
    x = 4,224,059.64

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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.