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Finding the Third Proportional to 1,150,947 and 1,742,397

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Solution

The third proportional to 1,150,947 and 1,742,397 is: 2,637,782.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,150,947 : 1,742,397 = 1,742,397 : x
  2. Step 2: Convert to fraction form
    1,150,947/1,742,397 = 1,742,397/x
  3. Step 3: Cross multiply
    1,150,947x = 1,742,397 × 1,742,397
  4. Step 4: Simplify right side
    1,150,947x = 3,035,947,305,609
  5. Step 5: Solve for x
    x = 3,035,947,305,609/1,150,947
  6. Step 6: Final answer
    x = 2,637,782.02

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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.