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Finding the Third Proportional to 917,264.25 and 2,158,265.25

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Solution

The third proportional to 917,264.25 and 2,158,265.25 is: 5,078,262.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    917,264.25 : 2,158,265.25 = 2,158,265.25 : x
  2. Step 2: Convert to fraction form
    917,264.25/2,158,265.25 = 2,158,265.25/x
  3. Step 3: Cross multiply
    917,264.25x = 2,158,265.25 × 2,158,265.25
  4. Step 4: Simplify right side
    917,264.25x = 4,658,108,889,357.56
  5. Step 5: Solve for x
    x = 4,658,108,889,357.56/917,264.25
  6. Step 6: Final answer
    x = 5,078,262.77

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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.