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Finding the Third Proportional to 480,099 and 1,046,598

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Solution

The third proportional to 480,099 and 1,046,598 is: 2,281,544.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,099 : 1,046,598 = 1,046,598 : x
  2. Step 2: Convert to fraction form
    480,099/1,046,598 = 1,046,598/x
  3. Step 3: Cross multiply
    480,099x = 1,046,598 × 1,046,598
  4. Step 4: Simplify right side
    480,099x = 1,095,367,373,604
  5. Step 5: Solve for x
    x = 1,095,367,373,604/480,099
  6. Step 6: Final answer
    x = 2,281,544.79

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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.