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Finding the Third Proportional to 1,200,072,904 and 1,803,304,562

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Solution

The third proportional to 1,200,072,904 and 1,803,304,562 is: 2,709,758,159.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,200,072,904 : 1,803,304,562 = 1,803,304,562 : x
  2. Step 2: Convert to fraction form
    1,200,072,904/1,803,304,562 = 1,803,304,562/x
  3. Step 3: Cross multiply
    1,200,072,904x = 1,803,304,562 × 1,803,304,562
  4. Step 4: Simplify right side
    1,200,072,904x = 3,251,907,343,330,011,648
  5. Step 5: Solve for x
    x = 3,251,907,343,330,011,648/1,200,072,904
  6. Step 6: Final answer
    x = 2,709,758,159.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.