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Finding the Third Proportional to 494,282,906 and 1,065,113,332

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Solution

The third proportional to 494,282,906 and 1,065,113,332 is: 2,295,176,297.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,282,906 : 1,065,113,332 = 1,065,113,332 : x
  2. Step 2: Convert to fraction form
    494,282,906/1,065,113,332 = 1,065,113,332/x
  3. Step 3: Cross multiply
    494,282,906x = 1,065,113,332 × 1,065,113,332
  4. Step 4: Simplify right side
    494,282,906x = 1,134,466,410,004,142,208
  5. Step 5: Solve for x
    x = 1,134,466,410,004,142,208/494,282,906
  6. Step 6: Final answer
    x = 2,295,176,297.28

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