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Finding the Third Proportional to 434,061 and 901,386

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Solution

The third proportional to 434,061 and 901,386 is: 1,871,849.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,061 : 901,386 = 901,386 : x
  2. Step 2: Convert to fraction form
    434,061/901,386 = 901,386/x
  3. Step 3: Cross multiply
    434,061x = 901,386 × 901,386
  4. Step 4: Simplify right side
    434,061x = 812,496,720,996
  5. Step 5: Solve for x
    x = 812,496,720,996/434,061
  6. Step 6: Final answer
    x = 1,871,849.17

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.