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Finding the Third Proportional to 434,073 and 901,410

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Solution

The third proportional to 434,073 and 901,410 is: 1,871,897.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,073 : 901,410 = 901,410 : x
  2. Step 2: Convert to fraction form
    434,073/901,410 = 901,410/x
  3. Step 3: Cross multiply
    434,073x = 901,410 × 901,410
  4. Step 4: Simplify right side
    434,073x = 812,539,988,100
  5. Step 5: Solve for x
    x = 812,539,988,100/434,073
  6. Step 6: Final answer
    x = 1,871,897.10

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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.