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Finding the Third Proportional to 494,282,904 and 1,065,113,328

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Solution

The third proportional to 494,282,904 and 1,065,113,328 is: 2,295,176,289.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,282,904 : 1,065,113,328 = 1,065,113,328 : x
  2. Step 2: Convert to fraction form
    494,282,904/1,065,113,328 = 1,065,113,328/x
  3. Step 3: Cross multiply
    494,282,904x = 1,065,113,328 × 1,065,113,328
  4. Step 4: Simplify right side
    494,282,904x = 1,134,466,401,483,235,584
  5. Step 5: Solve for x
    x = 1,134,466,401,483,235,584/494,282,904
  6. Step 6: Final answer
    x = 2,295,176,289.33

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.