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Finding the Third Proportional to 640,734 and 1,409,370

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Solution

The third proportional to 640,734 and 1,409,370 is: 3,100,075.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,734 : 1,409,370 = 1,409,370 : x
  2. Step 2: Convert to fraction form
    640,734/1,409,370 = 1,409,370/x
  3. Step 3: Cross multiply
    640,734x = 1,409,370 × 1,409,370
  4. Step 4: Simplify right side
    640,734x = 1,986,323,796,900
  5. Step 5: Solve for x
    x = 1,986,323,796,900/640,734
  6. Step 6: Final answer
    x = 3,100,075.53

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.