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Finding the Third Proportional to 780,897 and 1,583,529

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Solution

The third proportional to 780,897 and 1,583,529 is: 3,211,132.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    780,897 : 1,583,529 = 1,583,529 : x
  2. Step 2: Convert to fraction form
    780,897/1,583,529 = 1,583,529/x
  3. Step 3: Cross multiply
    780,897x = 1,583,529 × 1,583,529
  4. Step 4: Simplify right side
    780,897x = 2,507,564,093,841
  5. Step 5: Solve for x
    x = 2,507,564,093,841/780,897
  6. Step 6: Final answer
    x = 3,211,132.96

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.