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Finding the Third Proportional to 597,463 and 1,290,006

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Solution

The third proportional to 597,463 and 1,290,006 is: 2,785,302.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,463 : 1,290,006 = 1,290,006 : x
  2. Step 2: Convert to fraction form
    597,463/1,290,006 = 1,290,006/x
  3. Step 3: Cross multiply
    597,463x = 1,290,006 × 1,290,006
  4. Step 4: Simplify right side
    597,463x = 1,664,115,480,036
  5. Step 5: Solve for x
    x = 1,664,115,480,036/597,463
  6. Step 6: Final answer
    x = 2,785,302.99

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.