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Finding the Third Proportional to 545,726 and 841,917

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Solution

The third proportional to 545,726 and 841,917 is: 1,298,864.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,726 : 841,917 = 841,917 : x
  2. Step 2: Convert to fraction form
    545,726/841,917 = 841,917/x
  3. Step 3: Cross multiply
    545,726x = 841,917 × 841,917
  4. Step 4: Simplify right side
    545,726x = 708,824,234,889
  5. Step 5: Solve for x
    x = 708,824,234,889/545,726
  6. Step 6: Final answer
    x = 1,298,864.70

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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.