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Finding the Third Proportional to 786,851 and 1,725,010

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Solution

The third proportional to 786,851 and 1,725,010 is: 3,781,731.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    786,851 : 1,725,010 = 1,725,010 : x
  2. Step 2: Convert to fraction form
    786,851/1,725,010 = 1,725,010/x
  3. Step 3: Cross multiply
    786,851x = 1,725,010 × 1,725,010
  4. Step 4: Simplify right side
    786,851x = 2,975,659,500,100
  5. Step 5: Solve for x
    x = 2,975,659,500,100/786,851
  6. Step 6: Final answer
    x = 3,781,731.87

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.