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Finding the Third Proportional to 410,739 and 898,777.50

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Solution

The third proportional to 410,739 and 898,777.50 is: 1,966,701.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,739 : 898,777.50 = 898,777.50 : x
  2. Step 2: Convert to fraction form
    410,739/898,777.50 = 898,777.50/x
  3. Step 3: Cross multiply
    410,739x = 898,777.50 × 898,777.50
  4. Step 4: Simplify right side
    410,739x = 807,800,994,506.25
  5. Step 5: Solve for x
    x = 807,800,994,506.25/410,739
  6. Step 6: Final answer
    x = 1,966,701.47

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.