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Finding the Third Proportional to 753,808 and 1,640,507

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Solution

The third proportional to 753,808 and 1,640,507 is: 3,570,223.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    753,808 : 1,640,507 = 1,640,507 : x
  2. Step 2: Convert to fraction form
    753,808/1,640,507 = 1,640,507/x
  3. Step 3: Cross multiply
    753,808x = 1,640,507 × 1,640,507
  4. Step 4: Simplify right side
    753,808x = 2,691,263,217,049
  5. Step 5: Solve for x
    x = 2,691,263,217,049/753,808
  6. Step 6: Final answer
    x = 3,570,223.74

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.