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Finding the Third Proportional to 545,664 and 1,117,569

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Solution

The third proportional to 545,664 and 1,117,569 is: 2,288,881.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,664 : 1,117,569 = 1,117,569 : x
  2. Step 2: Convert to fraction form
    545,664/1,117,569 = 1,117,569/x
  3. Step 3: Cross multiply
    545,664x = 1,117,569 × 1,117,569
  4. Step 4: Simplify right side
    545,664x = 1,248,960,469,761
  5. Step 5: Solve for x
    x = 1,248,960,469,761/545,664
  6. Step 6: Final answer
    x = 2,288,881.93

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.