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Finding the Third Proportional to 777,197,784 and 1,111,401,366

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Solution

The third proportional to 777,197,784 and 1,111,401,366 is: 1,589,316,158.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    777,197,784 : 1,111,401,366 = 1,111,401,366 : x
  2. Step 2: Convert to fraction form
    777,197,784/1,111,401,366 = 1,111,401,366/x
  3. Step 3: Cross multiply
    777,197,784x = 1,111,401,366 × 1,111,401,366
  4. Step 4: Simplify right side
    777,197,784x = 1,235,212,996,346,665,984
  5. Step 5: Solve for x
    x = 1,235,212,996,346,665,984/777,197,784
  6. Step 6: Final answer
    x = 1,589,316,158.35

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.