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Finding the Third Proportional to 509,788,093 and 787,201,961.75

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Solution

The third proportional to 509,788,093 and 787,201,961.75 is: 1,215,577,486.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,788,093 : 787,201,961.75 = 787,201,961.75 : x
  2. Step 2: Convert to fraction form
    509,788,093/787,201,961.75 = 787,201,961.75/x
  3. Step 3: Cross multiply
    509,788,093x = 787,201,961.75 × 787,201,961.75
  4. Step 4: Simplify right side
    509,788,093x = 619,686,928,583,048,448
  5. Step 5: Solve for x
    x = 619,686,928,583,048,448/509,788,093
  6. Step 6: Final answer
    x = 1,215,577,486.20

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.