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Finding the Third Proportional to 926,304 and 1,385,544

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Solution

The third proportional to 926,304 and 1,385,544 is: 2,072,464.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    926,304 : 1,385,544 = 1,385,544 : x
  2. Step 2: Convert to fraction form
    926,304/1,385,544 = 1,385,544/x
  3. Step 3: Cross multiply
    926,304x = 1,385,544 × 1,385,544
  4. Step 4: Simplify right side
    926,304x = 1,919,732,175,936
  5. Step 5: Solve for x
    x = 1,919,732,175,936/926,304
  6. Step 6: Final answer
    x = 2,072,464.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.