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Finding the Third Proportional to 593,412 and 1,285,320

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Solution

The third proportional to 593,412 and 1,285,320 is: 2,783,980.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    593,412 : 1,285,320 = 1,285,320 : x
  2. Step 2: Convert to fraction form
    593,412/1,285,320 = 1,285,320/x
  3. Step 3: Cross multiply
    593,412x = 1,285,320 × 1,285,320
  4. Step 4: Simplify right side
    593,412x = 1,652,047,502,400
  5. Step 5: Solve for x
    x = 1,652,047,502,400/593,412
  6. Step 6: Final answer
    x = 2,783,980.61

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.