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Finding the Third Proportional to 468,506 and 1,021,819

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Solution

The third proportional to 468,506 and 1,021,819 is: 2,228,603.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,506 : 1,021,819 = 1,021,819 : x
  2. Step 2: Convert to fraction form
    468,506/1,021,819 = 1,021,819/x
  3. Step 3: Cross multiply
    468,506x = 1,021,819 × 1,021,819
  4. Step 4: Simplify right side
    468,506x = 1,044,114,068,761
  5. Step 5: Solve for x
    x = 1,044,114,068,761/468,506
  6. Step 6: Final answer
    x = 2,228,603.41

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Why These Related Problems?

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