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Finding the Third Proportional to 480,630,298 and 986,740,254

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Solution

The third proportional to 480,630,298 and 986,740,254 is: 2,025,790,577.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,630,298 : 986,740,254 = 986,740,254 : x
  2. Step 2: Convert to fraction form
    480,630,298/986,740,254 = 986,740,254/x
  3. Step 3: Cross multiply
    480,630,298x = 986,740,254 × 986,740,254
  4. Step 4: Simplify right side
    480,630,298x = 973,656,328,863,984,512
  5. Step 5: Solve for x
    x = 973,656,328,863,984,512/480,630,298
  6. Step 6: Final answer
    x = 2,025,790,577.32

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.