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Finding the Third Proportional to 428,782 and 846,718

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Solution

The third proportional to 428,782 and 846,718 is: 1,672,018.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,782 : 846,718 = 846,718 : x
  2. Step 2: Convert to fraction form
    428,782/846,718 = 846,718/x
  3. Step 3: Cross multiply
    428,782x = 846,718 × 846,718
  4. Step 4: Simplify right side
    428,782x = 716,931,371,524
  5. Step 5: Solve for x
    x = 716,931,371,524/428,782
  6. Step 6: Final answer
    x = 1,672,018.35

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.