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Finding the Third Proportional to 741,742 and 1,588,459

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Solution

The third proportional to 741,742 and 1,588,459 is: 3,401,724.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    741,742 : 1,588,459 = 1,588,459 : x
  2. Step 2: Convert to fraction form
    741,742/1,588,459 = 1,588,459/x
  3. Step 3: Cross multiply
    741,742x = 1,588,459 × 1,588,459
  4. Step 4: Simplify right side
    741,742x = 2,523,201,994,681
  5. Step 5: Solve for x
    x = 2,523,201,994,681/741,742
  6. Step 6: Final answer
    x = 3,401,724.58

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.