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Finding the Third Proportional to 607,570 and 920,416

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Solution

The third proportional to 607,570 and 920,416 is: 1,394,350.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    607,570 : 920,416 = 920,416 : x
  2. Step 2: Convert to fraction form
    607,570/920,416 = 920,416/x
  3. Step 3: Cross multiply
    607,570x = 920,416 × 920,416
  4. Step 4: Simplify right side
    607,570x = 847,165,613,056
  5. Step 5: Solve for x
    x = 847,165,613,056/607,570
  6. Step 6: Final answer
    x = 1,394,350.63

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.