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Finding the Third Proportional to 446,312 and 983,164

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Solution

The third proportional to 446,312 and 983,164 is: 2,165,775.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,312 : 983,164 = 983,164 : x
  2. Step 2: Convert to fraction form
    446,312/983,164 = 983,164/x
  3. Step 3: Cross multiply
    446,312x = 983,164 × 983,164
  4. Step 4: Simplify right side
    446,312x = 966,611,450,896
  5. Step 5: Solve for x
    x = 966,611,450,896/446,312
  6. Step 6: Final answer
    x = 2,165,775.18

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.