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Finding the Third Proportional to 721,848 and 1,009,157.50

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Solution

The third proportional to 721,848 and 1,009,157.50 is: 1,410,821.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    721,848 : 1,009,157.50 = 1,009,157.50 : x
  2. Step 2: Convert to fraction form
    721,848/1,009,157.50 = 1,009,157.50/x
  3. Step 3: Cross multiply
    721,848x = 1,009,157.50 × 1,009,157.50
  4. Step 4: Simplify right side
    721,848x = 1,018,398,859,806.25
  5. Step 5: Solve for x
    x = 1,018,398,859,806.25/721,848
  6. Step 6: Final answer
    x = 1,410,821.75

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.