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Finding the Third Proportional to 1,171,050 and 1,756,590

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Solution

The third proportional to 1,171,050 and 1,756,590 is: 2,634,907.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,171,050 : 1,756,590 = 1,756,590 : x
  2. Step 2: Convert to fraction form
    1,171,050/1,756,590 = 1,756,590/x
  3. Step 3: Cross multiply
    1,171,050x = 1,756,590 × 1,756,590
  4. Step 4: Simplify right side
    1,171,050x = 3,085,608,428,100
  5. Step 5: Solve for x
    x = 3,085,608,428,100/1,171,050
  6. Step 6: Final answer
    x = 2,634,907.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.