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Finding the Third Proportional to 1,476,470 and 2,111,337

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Solution

The third proportional to 1,476,470 and 2,111,337 is: 3,019,190.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,476,470 : 2,111,337 = 2,111,337 : x
  2. Step 2: Convert to fraction form
    1,476,470/2,111,337 = 2,111,337/x
  3. Step 3: Cross multiply
    1,476,470x = 2,111,337 × 2,111,337
  4. Step 4: Simplify right side
    1,476,470x = 4,457,743,927,569
  5. Step 5: Solve for x
    x = 4,457,743,927,569/1,476,470
  6. Step 6: Final answer
    x = 3,019,190.32

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.