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Finding the Third Proportional to 757,936 and 1,658,432

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Solution

The third proportional to 757,936 and 1,658,432 is: 3,628,798.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    757,936 : 1,658,432 = 1,658,432 : x
  2. Step 2: Convert to fraction form
    757,936/1,658,432 = 1,658,432/x
  3. Step 3: Cross multiply
    757,936x = 1,658,432 × 1,658,432
  4. Step 4: Simplify right side
    757,936x = 2,750,396,698,624
  5. Step 5: Solve for x
    x = 2,750,396,698,624/757,936
  6. Step 6: Final answer
    x = 3,628,798.08

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.