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Finding the Third Proportional to 772,826 and 1,652,008

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Solution

The third proportional to 772,826 and 1,652,008 is: 3,531,364.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    772,826 : 1,652,008 = 1,652,008 : x
  2. Step 2: Convert to fraction form
    772,826/1,652,008 = 1,652,008/x
  3. Step 3: Cross multiply
    772,826x = 1,652,008 × 1,652,008
  4. Step 4: Simplify right side
    772,826x = 2,729,130,432,064
  5. Step 5: Solve for x
    x = 2,729,130,432,064/772,826
  6. Step 6: Final answer
    x = 3,531,364.67

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.