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Finding the Third Proportional to 448,854.75 and 983,556

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Solution

The third proportional to 448,854.75 and 983,556 is: 2,155,223.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,854.75 : 983,556 = 983,556 : x
  2. Step 2: Convert to fraction form
    448,854.75/983,556 = 983,556/x
  3. Step 3: Cross multiply
    448,854.75x = 983,556 × 983,556
  4. Step 4: Simplify right side
    448,854.75x = 967,382,405,136
  5. Step 5: Solve for x
    x = 967,382,405,136/448,854.75
  6. Step 6: Final answer
    x = 2,155,223.72

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.