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Finding the Third Proportional to 807,572 and 1,774,348

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Solution

The third proportional to 807,572 and 1,774,348 is: 3,898,489.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    807,572 : 1,774,348 = 1,774,348 : x
  2. Step 2: Convert to fraction form
    807,572/1,774,348 = 1,774,348/x
  3. Step 3: Cross multiply
    807,572x = 1,774,348 × 1,774,348
  4. Step 4: Simplify right side
    807,572x = 3,148,310,825,104
  5. Step 5: Solve for x
    x = 3,148,310,825,104/807,572
  6. Step 6: Final answer
    x = 3,898,489.33

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.