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Finding the Third Proportional to 1,187,820 and 2,590,038

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Solution

The third proportional to 1,187,820 and 2,590,038 is: 5,647,570.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,187,820 : 2,590,038 = 2,590,038 : x
  2. Step 2: Convert to fraction form
    1,187,820/2,590,038 = 2,590,038/x
  3. Step 3: Cross multiply
    1,187,820x = 2,590,038 × 2,590,038
  4. Step 4: Simplify right side
    1,187,820x = 6,708,296,841,444
  5. Step 5: Solve for x
    x = 6,708,296,841,444/1,187,820
  6. Step 6: Final answer
    x = 5,647,570.21

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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.