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Finding the Third Proportional to 466,414 and 988,878.50

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Solution

The third proportional to 466,414 and 988,878.50 is: 2,096,593.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,414 : 988,878.50 = 988,878.50 : x
  2. Step 2: Convert to fraction form
    466,414/988,878.50 = 988,878.50/x
  3. Step 3: Cross multiply
    466,414x = 988,878.50 × 988,878.50
  4. Step 4: Simplify right side
    466,414x = 977,880,687,762.25
  5. Step 5: Solve for x
    x = 977,880,687,762.25/466,414
  6. Step 6: Final answer
    x = 2,096,593.77

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.