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Finding the Third Proportional to 1,510,664 and 3,286,944

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Solution

The third proportional to 1,510,664 and 3,286,944 is: 7,151,822.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,510,664 : 3,286,944 = 3,286,944 : x
  2. Step 2: Convert to fraction form
    1,510,664/3,286,944 = 3,286,944/x
  3. Step 3: Cross multiply
    1,510,664x = 3,286,944 × 3,286,944
  4. Step 4: Simplify right side
    1,510,664x = 10,804,000,859,136
  5. Step 5: Solve for x
    x = 10,804,000,859,136/1,510,664
  6. Step 6: Final answer
    x = 7,151,822.55

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Why These Related Problems?

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