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Finding the Third Proportional to 547,648 and 841,416

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Solution

The third proportional to 547,648 and 841,416 is: 1,292,766.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,648 : 841,416 = 841,416 : x
  2. Step 2: Convert to fraction form
    547,648/841,416 = 841,416/x
  3. Step 3: Cross multiply
    547,648x = 841,416 × 841,416
  4. Step 4: Simplify right side
    547,648x = 707,980,885,056
  5. Step 5: Solve for x
    x = 707,980,885,056/547,648
  6. Step 6: Final answer
    x = 1,292,766.31

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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.