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Finding the Third Proportional to 968,785 and 2,085,653.50

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Solution

The third proportional to 968,785 and 2,085,653.50 is: 4,490,109.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    968,785 : 2,085,653.50 = 2,085,653.50 : x
  2. Step 2: Convert to fraction form
    968,785/2,085,653.50 = 2,085,653.50/x
  3. Step 3: Cross multiply
    968,785x = 2,085,653.50 × 2,085,653.50
  4. Step 4: Simplify right side
    968,785x = 4,349,950,522,062.25
  5. Step 5: Solve for x
    x = 4,349,950,522,062.25/968,785
  6. Step 6: Final answer
    x = 4,490,109.28

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.