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Finding the Third Proportional to 545,648 and 841,800

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Solution

The third proportional to 545,648 and 841,800 is: 1,298,689.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,648 : 841,800 = 841,800 : x
  2. Step 2: Convert to fraction form
    545,648/841,800 = 841,800/x
  3. Step 3: Cross multiply
    545,648x = 841,800 × 841,800
  4. Step 4: Simplify right side
    545,648x = 708,627,240,000
  5. Step 5: Solve for x
    x = 708,627,240,000/545,648
  6. Step 6: Final answer
    x = 1,298,689.34

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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.