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Finding the Third Proportional to 651,204 and 1,018,476

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Solution

The third proportional to 651,204 and 1,018,476 is: 1,592,885.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,204 : 1,018,476 = 1,018,476 : x
  2. Step 2: Convert to fraction form
    651,204/1,018,476 = 1,018,476/x
  3. Step 3: Cross multiply
    651,204x = 1,018,476 × 1,018,476
  4. Step 4: Simplify right side
    651,204x = 1,037,293,362,576
  5. Step 5: Solve for x
    x = 1,037,293,362,576/651,204
  6. Step 6: Final answer
    x = 1,592,885.43

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.