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Finding the Third Proportional to 644,575 and 1,404,696

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Solution

The third proportional to 644,575 and 1,404,696 is: 3,061,196.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,575 : 1,404,696 = 1,404,696 : x
  2. Step 2: Convert to fraction form
    644,575/1,404,696 = 1,404,696/x
  3. Step 3: Cross multiply
    644,575x = 1,404,696 × 1,404,696
  4. Step 4: Simplify right side
    644,575x = 1,973,170,852,416
  5. Step 5: Solve for x
    x = 1,973,170,852,416/644,575
  6. Step 6: Final answer
    x = 3,061,196.68

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.