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Finding the Third Proportional to 2,172,683.25 and 4,676,697

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Solution

The third proportional to 2,172,683.25 and 4,676,697 is: 10,066,582.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,172,683.25 : 4,676,697 = 4,676,697 : x
  2. Step 2: Convert to fraction form
    2,172,683.25/4,676,697 = 4,676,697/x
  3. Step 3: Cross multiply
    2,172,683.25x = 4,676,697 × 4,676,697
  4. Step 4: Simplify right side
    2,172,683.25x = 21,871,494,829,809
  5. Step 5: Solve for x
    x = 21,871,494,829,809/2,172,683.25
  6. Step 6: Final answer
    x = 10,066,582.34

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.