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Finding the Third Proportional to 531,580 and 1,136,925

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Solution

The third proportional to 531,580 and 1,136,925 is: 2,431,616.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,580 : 1,136,925 = 1,136,925 : x
  2. Step 2: Convert to fraction form
    531,580/1,136,925 = 1,136,925/x
  3. Step 3: Cross multiply
    531,580x = 1,136,925 × 1,136,925
  4. Step 4: Simplify right side
    531,580x = 1,292,598,455,625
  5. Step 5: Solve for x
    x = 1,292,598,455,625/531,580
  6. Step 6: Final answer
    x = 2,431,616.04

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.