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Finding the Third Proportional to 384,480 and 838,944

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Solution

The third proportional to 384,480 and 838,944 is: 1,830,594.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,480 : 838,944 = 838,944 : x
  2. Step 2: Convert to fraction form
    384,480/838,944 = 838,944/x
  3. Step 3: Cross multiply
    384,480x = 838,944 × 838,944
  4. Step 4: Simplify right side
    384,480x = 703,827,035,136
  5. Step 5: Solve for x
    x = 703,827,035,136/384,480
  6. Step 6: Final answer
    x = 1,830,594.66

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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.