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Finding the Third Proportional to 566,954 and 869,952

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Solution

The third proportional to 566,954 and 869,952 is: 1,334,881.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,954 : 869,952 = 869,952 : x
  2. Step 2: Convert to fraction form
    566,954/869,952 = 869,952/x
  3. Step 3: Cross multiply
    566,954x = 869,952 × 869,952
  4. Step 4: Simplify right side
    566,954x = 756,816,482,304
  5. Step 5: Solve for x
    x = 756,816,482,304/566,954
  6. Step 6: Final answer
    x = 1,334,881.63

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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.