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Finding the Third Proportional to 672,609 and 983,046

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Solution

The third proportional to 672,609 and 983,046 is: 1,436,762.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    672,609 : 983,046 = 983,046 : x
  2. Step 2: Convert to fraction form
    672,609/983,046 = 983,046/x
  3. Step 3: Cross multiply
    672,609x = 983,046 × 983,046
  4. Step 4: Simplify right side
    672,609x = 966,379,438,116
  5. Step 5: Solve for x
    x = 966,379,438,116/672,609
  6. Step 6: Final answer
    x = 1,436,762.57

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.