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Finding the Third Proportional to 405,686,271 and 606,141,271

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Solution

The third proportional to 405,686,271 and 606,141,271 is: 905,643,761.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,686,271 : 606,141,271 = 606,141,271 : x
  2. Step 2: Convert to fraction form
    405,686,271/606,141,271 = 606,141,271/x
  3. Step 3: Cross multiply
    405,686,271x = 606,141,271 × 606,141,271
  4. Step 4: Simplify right side
    405,686,271x = 367,407,240,409,495,424
  5. Step 5: Solve for x
    x = 367,407,240,409,495,424/405,686,271
  6. Step 6: Final answer
    x = 905,643,761.38

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.