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Finding the Third Proportional to 509,788,016 and 787,201,852

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Solution

The third proportional to 509,788,016 and 787,201,852 is: 1,215,577,330.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,788,016 : 787,201,852 = 787,201,852 : x
  2. Step 2: Convert to fraction form
    509,788,016/787,201,852 = 787,201,852/x
  3. Step 3: Cross multiply
    509,788,016x = 787,201,852 × 787,201,852
  4. Step 4: Simplify right side
    509,788,016x = 619,686,755,792,229,888
  5. Step 5: Solve for x
    x = 619,686,755,792,229,888/509,788,016
  6. Step 6: Final answer
    x = 1,215,577,330.86

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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.