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Finding the Third Proportional to 384,064 and 841,597

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Solution

The third proportional to 384,064 and 841,597 is: 1,844,186.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,064 : 841,597 = 841,597 : x
  2. Step 2: Convert to fraction form
    384,064/841,597 = 841,597/x
  3. Step 3: Cross multiply
    384,064x = 841,597 × 841,597
  4. Step 4: Simplify right side
    384,064x = 708,285,510,409
  5. Step 5: Solve for x
    x = 708,285,510,409/384,064
  6. Step 6: Final answer
    x = 1,844,186.15

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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.