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Finding the Third Proportional to 762,099 and 1,114,539

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Solution

The third proportional to 762,099 and 1,114,539 is: 1,629,968.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    762,099 : 1,114,539 = 1,114,539 : x
  2. Step 2: Convert to fraction form
    762,099/1,114,539 = 1,114,539/x
  3. Step 3: Cross multiply
    762,099x = 1,114,539 × 1,114,539
  4. Step 4: Simplify right side
    762,099x = 1,242,197,182,521
  5. Step 5: Solve for x
    x = 1,242,197,182,521/762,099
  6. Step 6: Final answer
    x = 1,629,968.26

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.