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Finding the Third Proportional to 412,562,994 and 618,844,572

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Solution

The third proportional to 412,562,994 and 618,844,572 is: 928,266,979.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,562,994 : 618,844,572 = 618,844,572 : x
  2. Step 2: Convert to fraction form
    412,562,994/618,844,572 = 618,844,572/x
  3. Step 3: Cross multiply
    412,562,994x = 618,844,572 × 618,844,572
  4. Step 4: Simplify right side
    412,562,994x = 382,968,604,293,863,168
  5. Step 5: Solve for x
    x = 382,968,604,293,863,168/412,562,994
  6. Step 6: Final answer
    x = 928,266,979.50

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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.