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Finding the Third Proportional to 563,007 and 1,238,613

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Solution

The third proportional to 563,007 and 1,238,613 is: 2,724,943.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,007 : 1,238,613 = 1,238,613 : x
  2. Step 2: Convert to fraction form
    563,007/1,238,613 = 1,238,613/x
  3. Step 3: Cross multiply
    563,007x = 1,238,613 × 1,238,613
  4. Step 4: Simplify right side
    563,007x = 1,534,162,163,769
  5. Step 5: Solve for x
    x = 1,534,162,163,769/563,007
  6. Step 6: Final answer
    x = 2,724,943.32

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.