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Finding the Third Proportional to 787,216 and 1,725,740

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Solution

The third proportional to 787,216 and 1,725,740 is: 3,783,178.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    787,216 : 1,725,740 = 1,725,740 : x
  2. Step 2: Convert to fraction form
    787,216/1,725,740 = 1,725,740/x
  3. Step 3: Cross multiply
    787,216x = 1,725,740 × 1,725,740
  4. Step 4: Simplify right side
    787,216x = 2,978,178,547,600
  5. Step 5: Solve for x
    x = 2,978,178,547,600/787,216
  6. Step 6: Final answer
    x = 3,783,178.37

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.