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Finding the Third Proportional to 635,014 and 905,222

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Solution

The third proportional to 635,014 and 905,222 is: 1,290,407.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    635,014 : 905,222 = 905,222 : x
  2. Step 2: Convert to fraction form
    635,014/905,222 = 905,222/x
  3. Step 3: Cross multiply
    635,014x = 905,222 × 905,222
  4. Step 4: Simplify right side
    635,014x = 819,426,869,284
  5. Step 5: Solve for x
    x = 819,426,869,284/635,014
  6. Step 6: Final answer
    x = 1,290,407.56

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.