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Finding the Third Proportional to 545,574 and 1,178,264

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Solution

The third proportional to 545,574 and 1,178,264 is: 2,544,670.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,574 : 1,178,264 = 1,178,264 : x
  2. Step 2: Convert to fraction form
    545,574/1,178,264 = 1,178,264/x
  3. Step 3: Cross multiply
    545,574x = 1,178,264 × 1,178,264
  4. Step 4: Simplify right side
    545,574x = 1,388,306,053,696
  5. Step 5: Solve for x
    x = 1,388,306,053,696/545,574
  6. Step 6: Final answer
    x = 2,544,670.48

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.