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Finding the Third Proportional to 502,646 and 1,095,614

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Solution

The third proportional to 502,646 and 1,095,614 is: 2,388,102.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,646 : 1,095,614 = 1,095,614 : x
  2. Step 2: Convert to fraction form
    502,646/1,095,614 = 1,095,614/x
  3. Step 3: Cross multiply
    502,646x = 1,095,614 × 1,095,614
  4. Step 4: Simplify right side
    502,646x = 1,200,370,036,996
  5. Step 5: Solve for x
    x = 1,200,370,036,996/502,646
  6. Step 6: Final answer
    x = 2,388,102.24

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.