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Finding the Third Proportional to 887,922 and 1,256,409

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Solution

The third proportional to 887,922 and 1,256,409 is: 1,777,817.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    887,922 : 1,256,409 = 1,256,409 : x
  2. Step 2: Convert to fraction form
    887,922/1,256,409 = 1,256,409/x
  3. Step 3: Cross multiply
    887,922x = 1,256,409 × 1,256,409
  4. Step 4: Simplify right side
    887,922x = 1,578,563,575,281
  5. Step 5: Solve for x
    x = 1,578,563,575,281/887,922
  6. Step 6: Final answer
    x = 1,777,817.84

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.