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Finding the Third Proportional to 545,697 and 1,178,298

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Solution

The third proportional to 545,697 and 1,178,298 is: 2,544,243.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,697 : 1,178,298 = 1,178,298 : x
  2. Step 2: Convert to fraction form
    545,697/1,178,298 = 1,178,298/x
  3. Step 3: Cross multiply
    545,697x = 1,178,298 × 1,178,298
  4. Step 4: Simplify right side
    545,697x = 1,388,386,176,804
  5. Step 5: Solve for x
    x = 1,388,386,176,804/545,697
  6. Step 6: Final answer
    x = 2,544,243.74

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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.