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Finding the Third Proportional to 427,523 and 903,321

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Solution

The third proportional to 427,523 and 903,321 is: 1,908,643.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,523 : 903,321 = 903,321 : x
  2. Step 2: Convert to fraction form
    427,523/903,321 = 903,321/x
  3. Step 3: Cross multiply
    427,523x = 903,321 × 903,321
  4. Step 4: Simplify right side
    427,523x = 815,988,829,041
  5. Step 5: Solve for x
    x = 815,988,829,041/427,523
  6. Step 6: Final answer
    x = 1,908,643.11

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.