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Finding the Third Proportional to 713,188 and 1,566,343

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Solution

The third proportional to 713,188 and 1,566,343 is: 3,440,089.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,188 : 1,566,343 = 1,566,343 : x
  2. Step 2: Convert to fraction form
    713,188/1,566,343 = 1,566,343/x
  3. Step 3: Cross multiply
    713,188x = 1,566,343 × 1,566,343
  4. Step 4: Simplify right side
    713,188x = 2,453,430,393,649
  5. Step 5: Solve for x
    x = 2,453,430,393,649/713,188
  6. Step 6: Final answer
    x = 3,440,089.28

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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.