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Finding the Third Proportional to 980,986 and 1,472,457

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Solution

The third proportional to 980,986 and 1,472,457 is: 2,210,153.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    980,986 : 1,472,457 = 1,472,457 : x
  2. Step 2: Convert to fraction form
    980,986/1,472,457 = 1,472,457/x
  3. Step 3: Cross multiply
    980,986x = 1,472,457 × 1,472,457
  4. Step 4: Simplify right side
    980,986x = 2,168,129,616,849
  5. Step 5: Solve for x
    x = 2,168,129,616,849/980,986
  6. Step 6: Final answer
    x = 2,210,153.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.