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Finding the Third Proportional to 437,808 and 943,968

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Solution

The third proportional to 437,808 and 943,968 is: 2,035,311.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,808 : 943,968 = 943,968 : x
  2. Step 2: Convert to fraction form
    437,808/943,968 = 943,968/x
  3. Step 3: Cross multiply
    437,808x = 943,968 × 943,968
  4. Step 4: Simplify right side
    437,808x = 891,075,585,024
  5. Step 5: Solve for x
    x = 891,075,585,024/437,808
  6. Step 6: Final answer
    x = 2,035,311.34

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.