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Finding the Third Proportional to 1,380,924 and 2,953,746

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Solution

The third proportional to 1,380,924 and 2,953,746 is: 6,317,954.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,380,924 : 2,953,746 = 2,953,746 : x
  2. Step 2: Convert to fraction form
    1,380,924/2,953,746 = 2,953,746/x
  3. Step 3: Cross multiply
    1,380,924x = 2,953,746 × 2,953,746
  4. Step 4: Simplify right side
    1,380,924x = 8,724,615,432,516
  5. Step 5: Solve for x
    x = 8,724,615,432,516/1,380,924
  6. Step 6: Final answer
    x = 6,317,954.81

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.