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Finding the Third Proportional to 509,912,309 and 1,127,009,596

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Solution

The third proportional to 509,912,309 and 1,127,009,596 is: 2,490,919,726.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,912,309 : 1,127,009,596 = 1,127,009,596 : x
  2. Step 2: Convert to fraction form
    509,912,309/1,127,009,596 = 1,127,009,596/x
  3. Step 3: Cross multiply
    509,912,309x = 1,127,009,596 × 1,127,009,596
  4. Step 4: Simplify right side
    509,912,309x = 1,270,150,629,476,083,200
  5. Step 5: Solve for x
    x = 1,270,150,629,476,083,200/509,912,309
  6. Step 6: Final answer
    x = 2,490,919,726.90

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.