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Finding the Third Proportional to 692,311.13 and 1,495,339.13

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Solution

The third proportional to 692,311.13 and 1,495,339.13 is: 3,229,818.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    692,311.13 : 1,495,339.13 = 1,495,339.13 : x
  2. Step 2: Convert to fraction form
    692,311.13/1,495,339.13 = 1,495,339.13/x
  3. Step 3: Cross multiply
    692,311.13x = 1,495,339.13 × 1,495,339.13
  4. Step 4: Simplify right side
    692,311.13x = 2,236,039,098,755.77
  5. Step 5: Solve for x
    x = 2,236,039,098,755.77/692,311.13
  6. Step 6: Final answer
    x = 3,229,818.24

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.