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Finding the Third Proportional to 682,554 and 1,483,209

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Solution

The third proportional to 682,554 and 1,483,209 is: 3,223,054.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,554 : 1,483,209 = 1,483,209 : x
  2. Step 2: Convert to fraction form
    682,554/1,483,209 = 1,483,209/x
  3. Step 3: Cross multiply
    682,554x = 1,483,209 × 1,483,209
  4. Step 4: Simplify right side
    682,554x = 2,199,908,937,681
  5. Step 5: Solve for x
    x = 2,199,908,937,681/682,554
  6. Step 6: Final answer
    x = 3,223,054.79

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.