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Finding the Third Proportional to 840,464 and 1,943,696

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Solution

The third proportional to 840,464 and 1,943,696 is: 4,495,081.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    840,464 : 1,943,696 = 1,943,696 : x
  2. Step 2: Convert to fraction form
    840,464/1,943,696 = 1,943,696/x
  3. Step 3: Cross multiply
    840,464x = 1,943,696 × 1,943,696
  4. Step 4: Simplify right side
    840,464x = 3,777,954,140,416
  5. Step 5: Solve for x
    x = 3,777,954,140,416/840,464
  6. Step 6: Final answer
    x = 4,495,081.46

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.