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Finding the Third Proportional to 787,696 and 1,687,476

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Solution

The third proportional to 787,696 and 1,687,476 is: 3,615,068.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    787,696 : 1,687,476 = 1,687,476 : x
  2. Step 2: Convert to fraction form
    787,696/1,687,476 = 1,687,476/x
  3. Step 3: Cross multiply
    787,696x = 1,687,476 × 1,687,476
  4. Step 4: Simplify right side
    787,696x = 2,847,575,250,576
  5. Step 5: Solve for x
    x = 2,847,575,250,576/787,696
  6. Step 6: Final answer
    x = 3,615,068.82

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.