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Finding the Third Proportional to 1,582,740 and 2,454,421.50

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Solution

The third proportional to 1,582,740 and 2,454,421.50 is: 3,806,174.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,582,740 : 2,454,421.50 = 2,454,421.50 : x
  2. Step 2: Convert to fraction form
    1,582,740/2,454,421.50 = 2,454,421.50/x
  3. Step 3: Cross multiply
    1,582,740x = 2,454,421.50 × 2,454,421.50
  4. Step 4: Simplify right side
    1,582,740x = 6,024,184,899,662.25
  5. Step 5: Solve for x
    x = 6,024,184,899,662.25/1,582,740
  6. Step 6: Final answer
    x = 3,806,174.67

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.