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Finding the Third Proportional to 921,811 and 1,880,209

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Solution

The third proportional to 921,811 and 1,880,209 is: 3,835,044.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    921,811 : 1,880,209 = 1,880,209 : x
  2. Step 2: Convert to fraction form
    921,811/1,880,209 = 1,880,209/x
  3. Step 3: Cross multiply
    921,811x = 1,880,209 × 1,880,209
  4. Step 4: Simplify right side
    921,811x = 3,535,185,883,681
  5. Step 5: Solve for x
    x = 3,535,185,883,681/921,811
  6. Step 6: Final answer
    x = 3,835,044.15

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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.