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Finding the Third Proportional to 577,695 and 1,246,732

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Solution

The third proportional to 577,695 and 1,246,732 is: 2,690,590.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,695 : 1,246,732 = 1,246,732 : x
  2. Step 2: Convert to fraction form
    577,695/1,246,732 = 1,246,732/x
  3. Step 3: Cross multiply
    577,695x = 1,246,732 × 1,246,732
  4. Step 4: Simplify right side
    577,695x = 1,554,340,679,824
  5. Step 5: Solve for x
    x = 1,554,340,679,824/577,695
  6. Step 6: Final answer
    x = 2,690,590.50

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.