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Finding the Third Proportional to 1,590,663 and 3,365,570

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Solution

The third proportional to 1,590,663 and 3,365,570 is: 7,120,968.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,590,663 : 3,365,570 = 3,365,570 : x
  2. Step 2: Convert to fraction form
    1,590,663/3,365,570 = 3,365,570/x
  3. Step 3: Cross multiply
    1,590,663x = 3,365,570 × 3,365,570
  4. Step 4: Simplify right side
    1,590,663x = 11,327,061,424,900
  5. Step 5: Solve for x
    x = 11,327,061,424,900/1,590,663
  6. Step 6: Final answer
    x = 7,120,968.69

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.