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Finding the Third Proportional to 595,071 and 906,545

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Solution

The third proportional to 595,071 and 906,545 is: 1,381,051.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,071 : 906,545 = 906,545 : x
  2. Step 2: Convert to fraction form
    595,071/906,545 = 906,545/x
  3. Step 3: Cross multiply
    595,071x = 906,545 × 906,545
  4. Step 4: Simplify right side
    595,071x = 821,823,837,025
  5. Step 5: Solve for x
    x = 821,823,837,025/595,071
  6. Step 6: Final answer
    x = 1,381,051.74

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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.