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Finding the Third Proportional to 614,412 and 953,968

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Solution

The third proportional to 614,412 and 953,968 is: 1,481,180.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,412 : 953,968 = 953,968 : x
  2. Step 2: Convert to fraction form
    614,412/953,968 = 953,968/x
  3. Step 3: Cross multiply
    614,412x = 953,968 × 953,968
  4. Step 4: Simplify right side
    614,412x = 910,054,945,024
  5. Step 5: Solve for x
    x = 910,054,945,024/614,412
  6. Step 6: Final answer
    x = 1,481,180.29

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.