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Finding the Third Proportional to 884,574 and 1,325,457

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Solution

The third proportional to 884,574 and 1,325,457 is: 1,986,081.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    884,574 : 1,325,457 = 1,325,457 : x
  2. Step 2: Convert to fraction form
    884,574/1,325,457 = 1,325,457/x
  3. Step 3: Cross multiply
    884,574x = 1,325,457 × 1,325,457
  4. Step 4: Simplify right side
    884,574x = 1,756,836,258,849
  5. Step 5: Solve for x
    x = 1,756,836,258,849/884,574
  6. Step 6: Final answer
    x = 1,986,081.73

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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.