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Finding the Third Proportional to 712,765 and 1,551,007

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Solution

The third proportional to 712,765 and 1,551,007 is: 3,375,057.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,765 : 1,551,007 = 1,551,007 : x
  2. Step 2: Convert to fraction form
    712,765/1,551,007 = 1,551,007/x
  3. Step 3: Cross multiply
    712,765x = 1,551,007 × 1,551,007
  4. Step 4: Simplify right side
    712,765x = 2,405,622,714,049
  5. Step 5: Solve for x
    x = 2,405,622,714,049/712,765
  6. Step 6: Final answer
    x = 3,375,057.30

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.