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Finding the Third Proportional to 545,892 and 973,658

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Solution

The third proportional to 545,892 and 973,658 is: 1,736,625.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,892 : 973,658 = 973,658 : x
  2. Step 2: Convert to fraction form
    545,892/973,658 = 973,658/x
  3. Step 3: Cross multiply
    545,892x = 973,658 × 973,658
  4. Step 4: Simplify right side
    545,892x = 948,009,900,964
  5. Step 5: Solve for x
    x = 948,009,900,964/545,892
  6. Step 6: Final answer
    x = 1,736,625.38

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.