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Finding the Third Proportional to 509,471,540 and 1,091,638,984

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Solution

The third proportional to 509,471,540 and 1,091,638,984 is: 2,339,042,670.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,471,540 : 1,091,638,984 = 1,091,638,984 : x
  2. Step 2: Convert to fraction form
    509,471,540/1,091,638,984 = 1,091,638,984/x
  3. Step 3: Cross multiply
    509,471,540x = 1,091,638,984 × 1,091,638,984
  4. Step 4: Simplify right side
    509,471,540x = 1,191,675,671,388,552,192
  5. Step 5: Solve for x
    x = 1,191,675,671,388,552,192/509,471,540
  6. Step 6: Final answer
    x = 2,339,042,670.35

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.