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Finding the Third Proportional to 557,975 and 1,215,594

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Solution

The third proportional to 557,975 and 1,215,594 is: 2,648,270.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,975 : 1,215,594 = 1,215,594 : x
  2. Step 2: Convert to fraction form
    557,975/1,215,594 = 1,215,594/x
  3. Step 3: Cross multiply
    557,975x = 1,215,594 × 1,215,594
  4. Step 4: Simplify right side
    557,975x = 1,477,668,772,836
  5. Step 5: Solve for x
    x = 1,477,668,772,836/557,975
  6. Step 6: Final answer
    x = 2,648,270.57

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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.