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Finding the Third Proportional to 460,153.72 and 988,616.07

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Solution

The third proportional to 460,153.72 and 988,616.07 is: 2,123,989.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,153.72 : 988,616.07 = 988,616.07 : x
  2. Step 2: Convert to fraction form
    460,153.72/988,616.07 = 988,616.07/x
  3. Step 3: Cross multiply
    460,153.72x = 988,616.07 × 988,616.07
  4. Step 4: Simplify right side
    460,153.72x = 977,361,742,203.69
  5. Step 5: Solve for x
    x = 977,361,742,203.69/460,153.72
  6. Step 6: Final answer
    x = 2,123,989.65

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.