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Finding the Third Proportional to 696,567.38 and 1,422,653.63

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Solution

The third proportional to 696,567.38 and 1,422,653.63 is: 2,905,595.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    696,567.38 : 1,422,653.63 = 1,422,653.63 : x
  2. Step 2: Convert to fraction form
    696,567.38/1,422,653.63 = 1,422,653.63/x
  3. Step 3: Cross multiply
    696,567.38x = 1,422,653.63 × 1,422,653.63
  4. Step 4: Simplify right side
    696,567.38x = 2,023,943,336,725.64
  5. Step 5: Solve for x
    x = 2,023,943,336,725.64/696,567.38
  6. Step 6: Final answer
    x = 2,905,595.94

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.