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Finding the Third Proportional to 1,035,346,562 and 1,456,284,072

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Solution

The third proportional to 1,035,346,562 and 1,456,284,072 is: 2,048,360,786.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,035,346,562 : 1,456,284,072 = 1,456,284,072 : x
  2. Step 2: Convert to fraction form
    1,035,346,562/1,456,284,072 = 1,456,284,072/x
  3. Step 3: Cross multiply
    1,035,346,562x = 1,456,284,072 × 1,456,284,072
  4. Step 4: Simplify right side
    1,035,346,562x = 2,120,763,298,360,901,120
  5. Step 5: Solve for x
    x = 2,120,763,298,360,901,120/1,035,346,562
  6. Step 6: Final answer
    x = 2,048,360,786.81

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.