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Finding the Third Proportional to 653,886.42 and 1,385,559.42

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Solution

The third proportional to 653,886.42 and 1,385,559.42 is: 2,935,945.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,886.42 : 1,385,559.42 = 1,385,559.42 : x
  2. Step 2: Convert to fraction form
    653,886.42/1,385,559.42 = 1,385,559.42/x
  3. Step 3: Cross multiply
    653,886.42x = 1,385,559.42 × 1,385,559.42
  4. Step 4: Simplify right side
    653,886.42x = 1,919,774,911,546.58
  5. Step 5: Solve for x
    x = 1,919,774,911,546.58/653,886.42
  6. Step 6: Final answer
    x = 2,935,945.52

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.