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Finding the Third Proportional to 933,984 and 1,424,304

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Solution

The third proportional to 933,984 and 1,424,304 is: 2,172,030.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    933,984 : 1,424,304 = 1,424,304 : x
  2. Step 2: Convert to fraction form
    933,984/1,424,304 = 1,424,304/x
  3. Step 3: Cross multiply
    933,984x = 1,424,304 × 1,424,304
  4. Step 4: Simplify right side
    933,984x = 2,028,641,884,416
  5. Step 5: Solve for x
    x = 2,028,641,884,416/933,984
  6. Step 6: Final answer
    x = 2,172,030.66

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.