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Finding the Third Proportional to 864,064 and 1,885,320

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Solution

The third proportional to 864,064 and 1,885,320 is: 4,113,620.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    864,064 : 1,885,320 = 1,885,320 : x
  2. Step 2: Convert to fraction form
    864,064/1,885,320 = 1,885,320/x
  3. Step 3: Cross multiply
    864,064x = 1,885,320 × 1,885,320
  4. Step 4: Simplify right side
    864,064x = 3,554,431,502,400
  5. Step 5: Solve for x
    x = 3,554,431,502,400/864,064
  6. Step 6: Final answer
    x = 4,113,620.64

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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.