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Finding the Third Proportional to 593,053 and 1,271,913

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Solution

The third proportional to 593,053 and 1,271,913 is: 2,727,855.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    593,053 : 1,271,913 = 1,271,913 : x
  2. Step 2: Convert to fraction form
    593,053/1,271,913 = 1,271,913/x
  3. Step 3: Cross multiply
    593,053x = 1,271,913 × 1,271,913
  4. Step 4: Simplify right side
    593,053x = 1,617,762,679,569
  5. Step 5: Solve for x
    x = 1,617,762,679,569/593,053
  6. Step 6: Final answer
    x = 2,727,855.15

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.