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Finding the Third Proportional to 619,464 and 946,968

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Solution

The third proportional to 619,464 and 946,968 is: 1,447,619.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    619,464 : 946,968 = 946,968 : x
  2. Step 2: Convert to fraction form
    619,464/946,968 = 946,968/x
  3. Step 3: Cross multiply
    619,464x = 946,968 × 946,968
  4. Step 4: Simplify right side
    619,464x = 896,748,393,024
  5. Step 5: Solve for x
    x = 896,748,393,024/619,464
  6. Step 6: Final answer
    x = 1,447,619.87

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.