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Finding the Third Proportional to 2,281,741.50 and 3,507,507

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Solution

The third proportional to 2,281,741.50 and 3,507,507 is: 5,391,761.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,281,741.50 : 3,507,507 = 3,507,507 : x
  2. Step 2: Convert to fraction form
    2,281,741.50/3,507,507 = 3,507,507/x
  3. Step 3: Cross multiply
    2,281,741.50x = 3,507,507 × 3,507,507
  4. Step 4: Simplify right side
    2,281,741.50x = 12,302,605,355,049
  5. Step 5: Solve for x
    x = 12,302,605,355,049/2,281,741.50
  6. Step 6: Final answer
    x = 5,391,761.23

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.