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Finding the Third Proportional to 490,161.38 and 1,069,032.94

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Solution

The third proportional to 490,161.38 and 1,069,032.94 is: 2,331,541.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,161.38 : 1,069,032.94 = 1,069,032.94 : x
  2. Step 2: Convert to fraction form
    490,161.38/1,069,032.94 = 1,069,032.94/x
  3. Step 3: Cross multiply
    490,161.38x = 1,069,032.94 × 1,069,032.94
  4. Step 4: Simplify right side
    490,161.38x = 1,142,831,421,459.88
  5. Step 5: Solve for x
    x = 1,142,831,421,459.88/490,161.38
  6. Step 6: Final answer
    x = 2,331,541.16

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.