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Finding the Third Proportional to 594,909 and 1,159,929

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Solution

The third proportional to 594,909 and 1,159,929 is: 2,261,581.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,909 : 1,159,929 = 1,159,929 : x
  2. Step 2: Convert to fraction form
    594,909/1,159,929 = 1,159,929/x
  3. Step 3: Cross multiply
    594,909x = 1,159,929 × 1,159,929
  4. Step 4: Simplify right side
    594,909x = 1,345,435,285,041
  5. Step 5: Solve for x
    x = 1,345,435,285,041/594,909
  6. Step 6: Final answer
    x = 2,261,581.66

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.