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Finding the Third Proportional to 405,686,284 and 606,141,292

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Solution

The third proportional to 405,686,284 and 606,141,292 is: 905,643,795.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,686,284 : 606,141,292 = 606,141,292 : x
  2. Step 2: Convert to fraction form
    405,686,284/606,141,292 = 606,141,292/x
  3. Step 3: Cross multiply
    405,686,284x = 606,141,292 × 606,141,292
  4. Step 4: Simplify right side
    405,686,284x = 367,407,265,867,429,248
  5. Step 5: Solve for x
    x = 367,407,265,867,429,248/405,686,284
  6. Step 6: Final answer
    x = 905,643,795.11

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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.