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Finding the Third Proportional to 545,890 and 973,654

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Solution

The third proportional to 545,890 and 973,654 is: 1,736,617.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,890 : 973,654 = 973,654 : x
  2. Step 2: Convert to fraction form
    545,890/973,654 = 973,654/x
  3. Step 3: Cross multiply
    545,890x = 973,654 × 973,654
  4. Step 4: Simplify right side
    545,890x = 948,002,111,716
  5. Step 5: Solve for x
    x = 948,002,111,716/545,890
  6. Step 6: Final answer
    x = 1,736,617.47

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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.