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Finding the Third Proportional to 653,037.75 and 1,385,091

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Solution

The third proportional to 653,037.75 and 1,385,091 is: 2,937,773.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,037.75 : 1,385,091 = 1,385,091 : x
  2. Step 2: Convert to fraction form
    653,037.75/1,385,091 = 1,385,091/x
  3. Step 3: Cross multiply
    653,037.75x = 1,385,091 × 1,385,091
  4. Step 4: Simplify right side
    653,037.75x = 1,918,477,078,281
  5. Step 5: Solve for x
    x = 1,918,477,078,281/653,037.75
  6. Step 6: Final answer
    x = 2,937,773.63

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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.