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Finding the Third Proportional to 545,816 and 842,048

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Solution

The third proportional to 545,816 and 842,048 is: 1,299,054.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,816 : 842,048 = 842,048 : x
  2. Step 2: Convert to fraction form
    545,816/842,048 = 842,048/x
  3. Step 3: Cross multiply
    545,816x = 842,048 × 842,048
  4. Step 4: Simplify right side
    545,816x = 709,044,834,304
  5. Step 5: Solve for x
    x = 709,044,834,304/545,816
  6. Step 6: Final answer
    x = 1,299,054.69

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.