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Finding the Third Proportional to 1,445,871 and 2,164,430

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Solution

The third proportional to 1,445,871 and 2,164,430 is: 3,240,093.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,445,871 : 2,164,430 = 2,164,430 : x
  2. Step 2: Convert to fraction form
    1,445,871/2,164,430 = 2,164,430/x
  3. Step 3: Cross multiply
    1,445,871x = 2,164,430 × 2,164,430
  4. Step 4: Simplify right side
    1,445,871x = 4,684,757,224,900
  5. Step 5: Solve for x
    x = 4,684,757,224,900/1,445,871
  6. Step 6: Final answer
    x = 3,240,093.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.