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Finding the Third Proportional to 400,714 and 846,140

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Solution

The third proportional to 400,714 and 846,140 is: 1,786,693.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,714 : 846,140 = 846,140 : x
  2. Step 2: Convert to fraction form
    400,714/846,140 = 846,140/x
  3. Step 3: Cross multiply
    400,714x = 846,140 × 846,140
  4. Step 4: Simplify right side
    400,714x = 715,952,899,600
  5. Step 5: Solve for x
    x = 715,952,899,600/400,714
  6. Step 6: Final answer
    x = 1,786,693.00

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.