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Finding the Third Proportional to 2,047,525 and 3,018,799.50

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Solution

The third proportional to 2,047,525 and 3,018,799.50 is: 4,450,812.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,047,525 : 3,018,799.50 = 3,018,799.50 : x
  2. Step 2: Convert to fraction form
    2,047,525/3,018,799.50 = 3,018,799.50/x
  3. Step 3: Cross multiply
    2,047,525x = 3,018,799.50 × 3,018,799.50
  4. Step 4: Simplify right side
    2,047,525x = 9,113,150,421,200.25
  5. Step 5: Solve for x
    x = 9,113,150,421,200.25/2,047,525
  6. Step 6: Final answer
    x = 4,450,812.77

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.