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Finding the Third Proportional to 434,112 and 930,522

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Solution

The third proportional to 434,112 and 930,522 is: 1,994,580.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,112 : 930,522 = 930,522 : x
  2. Step 2: Convert to fraction form
    434,112/930,522 = 930,522/x
  3. Step 3: Cross multiply
    434,112x = 930,522 × 930,522
  4. Step 4: Simplify right side
    434,112x = 865,871,192,484
  5. Step 5: Solve for x
    x = 865,871,192,484/434,112
  6. Step 6: Final answer
    x = 1,994,580.18

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.