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Finding the Third Proportional to 618,314 and 983,576

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Solution

The third proportional to 618,314 and 983,576 is: 1,564,612.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    618,314 : 983,576 = 983,576 : x
  2. Step 2: Convert to fraction form
    618,314/983,576 = 983,576/x
  3. Step 3: Cross multiply
    618,314x = 983,576 × 983,576
  4. Step 4: Simplify right side
    618,314x = 967,421,747,776
  5. Step 5: Solve for x
    x = 967,421,747,776/618,314
  6. Step 6: Final answer
    x = 1,564,612.39

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.