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Finding the Third Proportional to 436,704 and 943,527

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Solution

The third proportional to 436,704 and 943,527 is: 2,038,550.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,704 : 943,527 = 943,527 : x
  2. Step 2: Convert to fraction form
    436,704/943,527 = 943,527/x
  3. Step 3: Cross multiply
    436,704x = 943,527 × 943,527
  4. Step 4: Simplify right side
    436,704x = 890,243,199,729
  5. Step 5: Solve for x
    x = 890,243,199,729/436,704
  6. Step 6: Final answer
    x = 2,038,550.60

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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.