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Finding the Third Proportional to 593,424 and 1,304,784

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Solution

The third proportional to 593,424 and 1,304,784 is: 2,868,878.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    593,424 : 1,304,784 = 1,304,784 : x
  2. Step 2: Convert to fraction form
    593,424/1,304,784 = 1,304,784/x
  3. Step 3: Cross multiply
    593,424x = 1,304,784 × 1,304,784
  4. Step 4: Simplify right side
    593,424x = 1,702,461,286,656
  5. Step 5: Solve for x
    x = 1,702,461,286,656/593,424
  6. Step 6: Final answer
    x = 2,868,878.38

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.