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Finding the Third Proportional to 547,426 and 1,201,418

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Solution

The third proportional to 547,426 and 1,201,418 is: 2,636,712.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,426 : 1,201,418 = 1,201,418 : x
  2. Step 2: Convert to fraction form
    547,426/1,201,418 = 1,201,418/x
  3. Step 3: Cross multiply
    547,426x = 1,201,418 × 1,201,418
  4. Step 4: Simplify right side
    547,426x = 1,443,405,210,724
  5. Step 5: Solve for x
    x = 1,443,405,210,724/547,426
  6. Step 6: Final answer
    x = 2,636,712.93

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.