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Finding the Third Proportional to 460,163 and 988,635.50

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Solution

The third proportional to 460,163 and 988,635.50 is: 2,124,030.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,163 : 988,635.50 = 988,635.50 : x
  2. Step 2: Convert to fraction form
    460,163/988,635.50 = 988,635.50/x
  3. Step 3: Cross multiply
    460,163x = 988,635.50 × 988,635.50
  4. Step 4: Simplify right side
    460,163x = 977,400,151,860.25
  5. Step 5: Solve for x
    x = 977,400,151,860.25/460,163
  6. Step 6: Final answer
    x = 2,124,030.29

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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.