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Finding the Third Proportional to 480,064 and 1,050,512

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Solution

The third proportional to 480,064 and 1,050,512 is: 2,298,809.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,064 : 1,050,512 = 1,050,512 : x
  2. Step 2: Convert to fraction form
    480,064/1,050,512 = 1,050,512/x
  3. Step 3: Cross multiply
    480,064x = 1,050,512 × 1,050,512
  4. Step 4: Simplify right side
    480,064x = 1,103,575,462,144
  5. Step 5: Solve for x
    x = 1,103,575,462,144/480,064
  6. Step 6: Final answer
    x = 2,298,809.04

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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.