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Finding the Third Proportional to 1,150,902 and 1,742,346

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Solution

The third proportional to 1,150,902 and 1,742,346 is: 2,637,730.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,150,902 : 1,742,346 = 1,742,346 : x
  2. Step 2: Convert to fraction form
    1,150,902/1,742,346 = 1,742,346/x
  3. Step 3: Cross multiply
    1,150,902x = 1,742,346 × 1,742,346
  4. Step 4: Simplify right side
    1,150,902x = 3,035,769,583,716
  5. Step 5: Solve for x
    x = 3,035,769,583,716/1,150,902
  6. Step 6: Final answer
    x = 2,637,730.74

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.