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Finding the Third Proportional to 917,570 and 2,158,844

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Solution

The third proportional to 917,570 and 2,158,844 is: 5,079,293.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    917,570 : 2,158,844 = 2,158,844 : x
  2. Step 2: Convert to fraction form
    917,570/2,158,844 = 2,158,844/x
  3. Step 3: Cross multiply
    917,570x = 2,158,844 × 2,158,844
  4. Step 4: Simplify right side
    917,570x = 4,660,607,416,336
  5. Step 5: Solve for x
    x = 4,660,607,416,336/917,570
  6. Step 6: Final answer
    x = 5,079,293.59

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.