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Finding the Third Proportional to 1,053,596 and 2,232,580

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Solution

The third proportional to 1,053,596 and 2,232,580 is: 4,730,858.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,053,596 : 2,232,580 = 2,232,580 : x
  2. Step 2: Convert to fraction form
    1,053,596/2,232,580 = 2,232,580/x
  3. Step 3: Cross multiply
    1,053,596x = 2,232,580 × 2,232,580
  4. Step 4: Simplify right side
    1,053,596x = 4,984,413,456,400
  5. Step 5: Solve for x
    x = 4,984,413,456,400/1,053,596
  6. Step 6: Final answer
    x = 4,730,858.37

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.