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Finding the Third Proportional to 634,272 and 1,330,822

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Solution

The third proportional to 634,272 and 1,330,822 is: 2,792,314.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    634,272 : 1,330,822 = 1,330,822 : x
  2. Step 2: Convert to fraction form
    634,272/1,330,822 = 1,330,822/x
  3. Step 3: Cross multiply
    634,272x = 1,330,822 × 1,330,822
  4. Step 4: Simplify right side
    634,272x = 1,771,087,195,684
  5. Step 5: Solve for x
    x = 1,771,087,195,684/634,272
  6. Step 6: Final answer
    x = 2,792,314.96

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.