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Finding the Third Proportional to 1,905,457 and 2,963,162

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Solution

The third proportional to 1,905,457 and 2,963,162 is: 4,607,991.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,905,457 : 2,963,162 = 2,963,162 : x
  2. Step 2: Convert to fraction form
    1,905,457/2,963,162 = 2,963,162/x
  3. Step 3: Cross multiply
    1,905,457x = 2,963,162 × 2,963,162
  4. Step 4: Simplify right side
    1,905,457x = 8,780,329,038,244
  5. Step 5: Solve for x
    x = 8,780,329,038,244/1,905,457
  6. Step 6: Final answer
    x = 4,607,991.17

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.