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Finding the Third Proportional to 721,046 and 1,669,176

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Solution

The third proportional to 721,046 and 1,669,176 is: 3,864,037.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    721,046 : 1,669,176 = 1,669,176 : x
  2. Step 2: Convert to fraction form
    721,046/1,669,176 = 1,669,176/x
  3. Step 3: Cross multiply
    721,046x = 1,669,176 × 1,669,176
  4. Step 4: Simplify right side
    721,046x = 2,786,148,518,976
  5. Step 5: Solve for x
    x = 2,786,148,518,976/721,046
  6. Step 6: Final answer
    x = 3,864,037.13

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.