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Finding the Third Proportional to 1,775,580 and 2,782,368

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Solution

The third proportional to 1,775,580 and 2,782,368 is: 4,360,024.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,775,580 : 2,782,368 = 2,782,368 : x
  2. Step 2: Convert to fraction form
    1,775,580/2,782,368 = 2,782,368/x
  3. Step 3: Cross multiply
    1,775,580x = 2,782,368 × 2,782,368
  4. Step 4: Simplify right side
    1,775,580x = 7,741,571,687,424
  5. Step 5: Solve for x
    x = 7,741,571,687,424/1,775,580
  6. Step 6: Final answer
    x = 4,360,024.15

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.