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Finding the Third Proportional to 594,360 and 1,283,472

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Solution

The third proportional to 594,360 and 1,283,472 is: 2,771,553.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,360 : 1,283,472 = 1,283,472 : x
  2. Step 2: Convert to fraction form
    594,360/1,283,472 = 1,283,472/x
  3. Step 3: Cross multiply
    594,360x = 1,283,472 × 1,283,472
  4. Step 4: Simplify right side
    594,360x = 1,647,300,374,784
  5. Step 5: Solve for x
    x = 1,647,300,374,784/594,360
  6. Step 6: Final answer
    x = 2,771,553.22

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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.