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Finding the Third Proportional to 646,786 and 1,335,066

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Solution

The third proportional to 646,786 and 1,335,066 is: 2,755,782.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,786 : 1,335,066 = 1,335,066 : x
  2. Step 2: Convert to fraction form
    646,786/1,335,066 = 1,335,066/x
  3. Step 3: Cross multiply
    646,786x = 1,335,066 × 1,335,066
  4. Step 4: Simplify right side
    646,786x = 1,782,401,224,356
  5. Step 5: Solve for x
    x = 1,782,401,224,356/646,786
  6. Step 6: Final answer
    x = 2,755,782.01

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.