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Finding the Third Proportional to 669,297 and 1,019,628

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Solution

The third proportional to 669,297 and 1,019,628 is: 1,553,333.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    669,297 : 1,019,628 = 1,019,628 : x
  2. Step 2: Convert to fraction form
    669,297/1,019,628 = 1,019,628/x
  3. Step 3: Cross multiply
    669,297x = 1,019,628 × 1,019,628
  4. Step 4: Simplify right side
    669,297x = 1,039,641,258,384
  5. Step 5: Solve for x
    x = 1,039,641,258,384/669,297
  6. Step 6: Final answer
    x = 1,553,333.21

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.