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Finding the Third Proportional to 921,807 and 1,880,201

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Solution

The third proportional to 921,807 and 1,880,201 is: 3,835,028.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    921,807 : 1,880,201 = 1,880,201 : x
  2. Step 2: Convert to fraction form
    921,807/1,880,201 = 1,880,201/x
  3. Step 3: Cross multiply
    921,807x = 1,880,201 × 1,880,201
  4. Step 4: Simplify right side
    921,807x = 3,535,155,800,401
  5. Step 5: Solve for x
    x = 3,535,155,800,401/921,807
  6. Step 6: Final answer
    x = 3,835,028.16

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.