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Finding the Third Proportional to 721,849 and 1,009,159

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Solution

The third proportional to 721,849 and 1,009,159 is: 1,410,823.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    721,849 : 1,009,159 = 1,009,159 : x
  2. Step 2: Convert to fraction form
    721,849/1,009,159 = 1,009,159/x
  3. Step 3: Cross multiply
    721,849x = 1,009,159 × 1,009,159
  4. Step 4: Simplify right side
    721,849x = 1,018,401,887,281
  5. Step 5: Solve for x
    x = 1,018,401,887,281/721,849
  6. Step 6: Final answer
    x = 1,410,823.99

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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.