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Finding the Third Proportional to 1,476,486 and 2,111,361

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Solution

The third proportional to 1,476,486 and 2,111,361 is: 3,019,226.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,476,486 : 2,111,361 = 2,111,361 : x
  2. Step 2: Convert to fraction form
    1,476,486/2,111,361 = 2,111,361/x
  3. Step 3: Cross multiply
    1,476,486x = 2,111,361 × 2,111,361
  4. Step 4: Simplify right side
    1,476,486x = 4,457,845,272,321
  5. Step 5: Solve for x
    x = 4,457,845,272,321/1,476,486
  6. Step 6: Final answer
    x = 3,019,226.24

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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.