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Finding the Third Proportional to 480,096 and 1,046,592

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Solution

The third proportional to 480,096 and 1,046,592 is: 2,281,532.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,096 : 1,046,592 = 1,046,592 : x
  2. Step 2: Convert to fraction form
    480,096/1,046,592 = 1,046,592/x
  3. Step 3: Cross multiply
    480,096x = 1,046,592 × 1,046,592
  4. Step 4: Simplify right side
    480,096x = 1,095,354,814,464
  5. Step 5: Solve for x
    x = 1,095,354,814,464/480,096
  6. Step 6: Final answer
    x = 2,281,532.89

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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.