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Finding the Third Proportional to 606,411 and 1,320,417

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Solution

The third proportional to 606,411 and 1,320,417 is: 2,875,114.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    606,411 : 1,320,417 = 1,320,417 : x
  2. Step 2: Convert to fraction form
    606,411/1,320,417 = 1,320,417/x
  3. Step 3: Cross multiply
    606,411x = 1,320,417 × 1,320,417
  4. Step 4: Simplify right side
    606,411x = 1,743,501,053,889
  5. Step 5: Solve for x
    x = 1,743,501,053,889/606,411
  6. Step 6: Final answer
    x = 2,875,114.49

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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.