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Finding the Third Proportional to 400,701 and 846,114

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Solution

The third proportional to 400,701 and 846,114 is: 1,786,641.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,701 : 846,114 = 846,114 : x
  2. Step 2: Convert to fraction form
    400,701/846,114 = 846,114/x
  3. Step 3: Cross multiply
    400,701x = 846,114 × 846,114
  4. Step 4: Simplify right side
    400,701x = 715,908,900,996
  5. Step 5: Solve for x
    x = 715,908,900,996/400,701
  6. Step 6: Final answer
    x = 1,786,641.16

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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.