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Finding the Third Proportional to 414,150,032 and 659,312,490

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Solution

The third proportional to 414,150,032 and 659,312,490 is: 1,049,602,621.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,150,032 : 659,312,490 = 659,312,490 : x
  2. Step 2: Convert to fraction form
    414,150,032/659,312,490 = 659,312,490/x
  3. Step 3: Cross multiply
    414,150,032x = 659,312,490 × 659,312,490
  4. Step 4: Simplify right side
    414,150,032x = 434,692,959,470,000,128
  5. Step 5: Solve for x
    x = 434,692,959,470,000,128/414,150,032
  6. Step 6: Final answer
    x = 1,049,602,621.96

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.