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Finding the Third Proportional to 786,693 and 1,725,018

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Solution

The third proportional to 786,693 and 1,725,018 is: 3,782,526.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    786,693 : 1,725,018 = 1,725,018 : x
  2. Step 2: Convert to fraction form
    786,693/1,725,018 = 1,725,018/x
  3. Step 3: Cross multiply
    786,693x = 1,725,018 × 1,725,018
  4. Step 4: Simplify right side
    786,693x = 2,975,687,100,324
  5. Step 5: Solve for x
    x = 2,975,687,100,324/786,693
  6. Step 6: Final answer
    x = 3,782,526.48

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Why These Related Problems?

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