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Finding the Third Proportional to 595,073 and 906,548

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Solution

The third proportional to 595,073 and 906,548 is: 1,381,056.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,073 : 906,548 = 906,548 : x
  2. Step 2: Convert to fraction form
    595,073/906,548 = 906,548/x
  3. Step 3: Cross multiply
    595,073x = 906,548 × 906,548
  4. Step 4: Simplify right side
    595,073x = 821,829,276,304
  5. Step 5: Solve for x
    x = 821,829,276,304/595,073
  6. Step 6: Final answer
    x = 1,381,056.23

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.