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Finding the Third Proportional to 384,582 and 841,578

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Solution

The third proportional to 384,582 and 841,578 is: 1,841,619.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,582 : 841,578 = 841,578 : x
  2. Step 2: Convert to fraction form
    384,582/841,578 = 841,578/x
  3. Step 3: Cross multiply
    384,582x = 841,578 × 841,578
  4. Step 4: Simplify right side
    384,582x = 708,253,530,084
  5. Step 5: Solve for x
    x = 708,253,530,084/384,582
  6. Step 6: Final answer
    x = 1,841,619.03

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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.