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Finding the Third Proportional to 619,818 and 957,064

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Solution

The third proportional to 619,818 and 957,064 is: 1,477,807.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    619,818 : 957,064 = 957,064 : x
  2. Step 2: Convert to fraction form
    619,818/957,064 = 957,064/x
  3. Step 3: Cross multiply
    619,818x = 957,064 × 957,064
  4. Step 4: Simplify right side
    619,818x = 915,971,500,096
  5. Step 5: Solve for x
    x = 915,971,500,096/619,818
  6. Step 6: Final answer
    x = 1,477,807.20

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.