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Finding the Third Proportional to 480,136 and 1,048,858

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Solution

The third proportional to 480,136 and 1,048,858 is: 2,291,232.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,136 : 1,048,858 = 1,048,858 : x
  2. Step 2: Convert to fraction form
    480,136/1,048,858 = 1,048,858/x
  3. Step 3: Cross multiply
    480,136x = 1,048,858 × 1,048,858
  4. Step 4: Simplify right side
    480,136x = 1,100,103,104,164
  5. Step 5: Solve for x
    x = 1,100,103,104,164/480,136
  6. Step 6: Final answer
    x = 2,291,232.28

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.