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Finding the Third Proportional to 634,276 and 1,330,830

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Solution

The third proportional to 634,276 and 1,330,830 is: 2,792,330.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    634,276 : 1,330,830 = 1,330,830 : x
  2. Step 2: Convert to fraction form
    634,276/1,330,830 = 1,330,830/x
  3. Step 3: Cross multiply
    634,276x = 1,330,830 × 1,330,830
  4. Step 4: Simplify right side
    634,276x = 1,771,108,488,900
  5. Step 5: Solve for x
    x = 1,771,108,488,900/634,276
  6. Step 6: Final answer
    x = 2,792,330.92

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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.