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Finding the Third Proportional to 594,325 and 1,237,897

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Solution

The third proportional to 594,325 and 1,237,897 is: 2,578,368.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,325 : 1,237,897 = 1,237,897 : x
  2. Step 2: Convert to fraction form
    594,325/1,237,897 = 1,237,897/x
  3. Step 3: Cross multiply
    594,325x = 1,237,897 × 1,237,897
  4. Step 4: Simplify right side
    594,325x = 1,532,388,982,609
  5. Step 5: Solve for x
    x = 1,532,388,982,609/594,325
  6. Step 6: Final answer
    x = 2,578,368.71

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.