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Finding the Third Proportional to 780,898.50 and 1,583,532

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Solution

The third proportional to 780,898.50 and 1,583,532 is: 3,211,138.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    780,898.50 : 1,583,532 = 1,583,532 : x
  2. Step 2: Convert to fraction form
    780,898.50/1,583,532 = 1,583,532/x
  3. Step 3: Cross multiply
    780,898.50x = 1,583,532 × 1,583,532
  4. Step 4: Simplify right side
    780,898.50x = 2,507,573,595,024
  5. Step 5: Solve for x
    x = 2,507,573,595,024/780,898.50
  6. Step 6: Final answer
    x = 3,211,138.96

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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.