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Finding the Third Proportional to 877,257 and 1,913,165

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Solution

The third proportional to 877,257 and 1,913,165 is: 4,172,323.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    877,257 : 1,913,165 = 1,913,165 : x
  2. Step 2: Convert to fraction form
    877,257/1,913,165 = 1,913,165/x
  3. Step 3: Cross multiply
    877,257x = 1,913,165 × 1,913,165
  4. Step 4: Simplify right side
    877,257x = 3,660,200,317,225
  5. Step 5: Solve for x
    x = 3,660,200,317,225/877,257
  6. Step 6: Final answer
    x = 4,172,323.87

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.