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Finding the Third Proportional to 460,166 and 988,641.50

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Solution

The third proportional to 460,166 and 988,641.50 is: 2,124,042.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,166 : 988,641.50 = 988,641.50 : x
  2. Step 2: Convert to fraction form
    460,166/988,641.50 = 988,641.50/x
  3. Step 3: Cross multiply
    460,166x = 988,641.50 × 988,641.50
  4. Step 4: Simplify right side
    460,166x = 977,412,015,522.25
  5. Step 5: Solve for x
    x = 977,412,015,522.25/460,166
  6. Step 6: Final answer
    x = 2,124,042.23

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