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Finding the Third Proportional to 597,784 and 1,295,156

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Solution

The third proportional to 597,784 and 1,295,156 is: 2,806,078.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,784 : 1,295,156 = 1,295,156 : x
  2. Step 2: Convert to fraction form
    597,784/1,295,156 = 1,295,156/x
  3. Step 3: Cross multiply
    597,784x = 1,295,156 × 1,295,156
  4. Step 4: Simplify right side
    597,784x = 1,677,429,064,336
  5. Step 5: Solve for x
    x = 1,677,429,064,336/597,784
  6. Step 6: Final answer
    x = 2,806,078.89

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.