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Finding the Third Proportional to 595,061 and 906,534

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Solution

The third proportional to 595,061 and 906,534 is: 1,381,041.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,061 : 906,534 = 906,534 : x
  2. Step 2: Convert to fraction form
    595,061/906,534 = 906,534/x
  3. Step 3: Cross multiply
    595,061x = 906,534 × 906,534
  4. Step 4: Simplify right side
    595,061x = 821,803,893,156
  5. Step 5: Solve for x
    x = 821,803,893,156/595,061
  6. Step 6: Final answer
    x = 1,381,041.43

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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.