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Finding the Third Proportional to 1,029,887 and 2,255,964

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Solution

The third proportional to 1,029,887 and 2,255,964 is: 4,941,681.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029,887 : 2,255,964 = 2,255,964 : x
  2. Step 2: Convert to fraction form
    1,029,887/2,255,964 = 2,255,964/x
  3. Step 3: Cross multiply
    1,029,887x = 2,255,964 × 2,255,964
  4. Step 4: Simplify right side
    1,029,887x = 5,089,373,569,296
  5. Step 5: Solve for x
    x = 5,089,373,569,296/1,029,887
  6. Step 6: Final answer
    x = 4,941,681.53

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.