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Finding the Third Proportional to 801,430 and 1,692,284

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Solution

The third proportional to 801,430 and 1,692,284 is: 3,573,393.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    801,430 : 1,692,284 = 1,692,284 : x
  2. Step 2: Convert to fraction form
    801,430/1,692,284 = 1,692,284/x
  3. Step 3: Cross multiply
    801,430x = 1,692,284 × 1,692,284
  4. Step 4: Simplify right side
    801,430x = 2,863,825,136,656
  5. Step 5: Solve for x
    x = 2,863,825,136,656/801,430
  6. Step 6: Final answer
    x = 3,573,393.98

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.