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Finding the Third Proportional to 641,011 and 1,401,091

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Solution

The third proportional to 641,011 and 1,401,091 is: 3,062,437.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    641,011 : 1,401,091 = 1,401,091 : x
  2. Step 2: Convert to fraction form
    641,011/1,401,091 = 1,401,091/x
  3. Step 3: Cross multiply
    641,011x = 1,401,091 × 1,401,091
  4. Step 4: Simplify right side
    641,011x = 1,963,055,990,281
  5. Step 5: Solve for x
    x = 1,963,055,990,281/641,011
  6. Step 6: Final answer
    x = 3,062,437.29

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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.