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Finding the Third Proportional to 404,386 and 841,604

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Solution

The third proportional to 404,386 and 841,604 is: 1,751,537.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,386 : 841,604 = 841,604 : x
  2. Step 2: Convert to fraction form
    404,386/841,604 = 841,604/x
  3. Step 3: Cross multiply
    404,386x = 841,604 × 841,604
  4. Step 4: Simplify right side
    404,386x = 708,297,292,816
  5. Step 5: Solve for x
    x = 708,297,292,816/404,386
  6. Step 6: Final answer
    x = 1,751,537.62

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.