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Finding the Third Proportional to 469,683 and 1,027,980

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Solution

The third proportional to 469,683 and 1,027,980 is: 2,249,906.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,683 : 1,027,980 = 1,027,980 : x
  2. Step 2: Convert to fraction form
    469,683/1,027,980 = 1,027,980/x
  3. Step 3: Cross multiply
    469,683x = 1,027,980 × 1,027,980
  4. Step 4: Simplify right side
    469,683x = 1,056,742,880,400
  5. Step 5: Solve for x
    x = 1,056,742,880,400/469,683
  6. Step 6: Final answer
    x = 2,249,906.60

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.