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Finding the Third Proportional to 780,894 and 1,583,523

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Solution

The third proportional to 780,894 and 1,583,523 is: 3,211,120.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    780,894 : 1,583,523 = 1,583,523 : x
  2. Step 2: Convert to fraction form
    780,894/1,583,523 = 1,583,523/x
  3. Step 3: Cross multiply
    780,894x = 1,583,523 × 1,583,523
  4. Step 4: Simplify right side
    780,894x = 2,507,545,091,529
  5. Step 5: Solve for x
    x = 2,507,545,091,529/780,894
  6. Step 6: Final answer
    x = 3,211,120.96

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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.