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Finding the Third Proportional to 469,719 and 1,047,012

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Solution

The third proportional to 469,719 and 1,047,012 is: 2,333,808.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,719 : 1,047,012 = 1,047,012 : x
  2. Step 2: Convert to fraction form
    469,719/1,047,012 = 1,047,012/x
  3. Step 3: Cross multiply
    469,719x = 1,047,012 × 1,047,012
  4. Step 4: Simplify right side
    469,719x = 1,096,234,128,144
  5. Step 5: Solve for x
    x = 1,096,234,128,144/469,719
  6. Step 6: Final answer
    x = 2,333,808.36

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.