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Finding the Third Proportional to 480,024 and 1,050,480

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Solution

The third proportional to 480,024 and 1,050,480 is: 2,298,860.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,024 : 1,050,480 = 1,050,480 : x
  2. Step 2: Convert to fraction form
    480,024/1,050,480 = 1,050,480/x
  3. Step 3: Cross multiply
    480,024x = 1,050,480 × 1,050,480
  4. Step 4: Simplify right side
    480,024x = 1,103,508,230,400
  5. Step 5: Solve for x
    x = 1,103,508,230,400/480,024
  6. Step 6: Final answer
    x = 2,298,860.54

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Why These Related Problems?

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