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Finding the Third Proportional to 1,580,084 and 3,501,820

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Solution

The third proportional to 1,580,084 and 3,501,820 is: 7,760,817.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,580,084 : 3,501,820 = 3,501,820 : x
  2. Step 2: Convert to fraction form
    1,580,084/3,501,820 = 3,501,820/x
  3. Step 3: Cross multiply
    1,580,084x = 3,501,820 × 3,501,820
  4. Step 4: Simplify right side
    1,580,084x = 12,262,743,312,400
  5. Step 5: Solve for x
    x = 12,262,743,312,400/1,580,084
  6. Step 6: Final answer
    x = 7,760,817.34

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.