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Finding the Third Proportional to 480,140 and 1,048,867

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Solution

The third proportional to 480,140 and 1,048,867 is: 2,291,252.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,140 : 1,048,867 = 1,048,867 : x
  2. Step 2: Convert to fraction form
    480,140/1,048,867 = 1,048,867/x
  3. Step 3: Cross multiply
    480,140x = 1,048,867 × 1,048,867
  4. Step 4: Simplify right side
    480,140x = 1,100,121,983,689
  5. Step 5: Solve for x
    x = 1,100,121,983,689/480,140
  6. Step 6: Final answer
    x = 2,291,252.52

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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.