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Finding the Third Proportional to 1,960,307 and 4,220,971

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Solution

The third proportional to 1,960,307 and 4,220,971 is: 9,088,676.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,960,307 : 4,220,971 = 4,220,971 : x
  2. Step 2: Convert to fraction form
    1,960,307/4,220,971 = 4,220,971/x
  3. Step 3: Cross multiply
    1,960,307x = 4,220,971 × 4,220,971
  4. Step 4: Simplify right side
    1,960,307x = 17,816,596,182,841
  5. Step 5: Solve for x
    x = 17,816,596,182,841/1,960,307
  6. Step 6: Final answer
    x = 9,088,676.51

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.