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Finding the Third Proportional to 593,077,794 and 1,235,243,613

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Solution

The third proportional to 593,077,794 and 1,235,243,613 is: 2,572,726,207.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    593,077,794 : 1,235,243,613 = 1,235,243,613 : x
  2. Step 2: Convert to fraction form
    593,077,794/1,235,243,613 = 1,235,243,613/x
  3. Step 3: Cross multiply
    593,077,794x = 1,235,243,613 × 1,235,243,613
  4. Step 4: Simplify right side
    593,077,794x = 1,525,826,783,457,293,824
  5. Step 5: Solve for x
    x = 1,525,826,783,457,293,824/593,077,794
  6. Step 6: Final answer
    x = 2,572,726,207.07

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.