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Finding the Third Proportional to 851,490 and 1,309,194

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Solution

The third proportional to 851,490 and 1,309,194 is: 2,012,929.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    851,490 : 1,309,194 = 1,309,194 : x
  2. Step 2: Convert to fraction form
    851,490/1,309,194 = 1,309,194/x
  3. Step 3: Cross multiply
    851,490x = 1,309,194 × 1,309,194
  4. Step 4: Simplify right side
    851,490x = 1,713,988,929,636
  5. Step 5: Solve for x
    x = 1,713,988,929,636/851,490
  6. Step 6: Final answer
    x = 2,012,929.02

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.