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Finding the Third Proportional to 1,762,024 and 2,803,745

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Solution

The third proportional to 1,762,024 and 2,803,745 is: 4,461,338.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,762,024 : 2,803,745 = 2,803,745 : x
  2. Step 2: Convert to fraction form
    1,762,024/2,803,745 = 2,803,745/x
  3. Step 3: Cross multiply
    1,762,024x = 2,803,745 × 2,803,745
  4. Step 4: Simplify right side
    1,762,024x = 7,860,986,025,025
  5. Step 5: Solve for x
    x = 7,860,986,025,025/1,762,024
  6. Step 6: Final answer
    x = 4,461,338.79

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.