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Finding the Third Proportional to 1,953,462 and 4,222,746

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Solution

The third proportional to 1,953,462 and 4,222,746 is: 9,128,195.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,953,462 : 4,222,746 = 4,222,746 : x
  2. Step 2: Convert to fraction form
    1,953,462/4,222,746 = 4,222,746/x
  3. Step 3: Cross multiply
    1,953,462x = 4,222,746 × 4,222,746
  4. Step 4: Simplify right side
    1,953,462x = 17,831,583,780,516
  5. Step 5: Solve for x
    x = 17,831,583,780,516/1,953,462
  6. Step 6: Final answer
    x = 9,128,195.88

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.