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Finding the Third Proportional to 707,328 and 1,546,596

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Solution

The third proportional to 707,328 and 1,546,596 is: 3,381,683.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    707,328 : 1,546,596 = 1,546,596 : x
  2. Step 2: Convert to fraction form
    707,328/1,546,596 = 1,546,596/x
  3. Step 3: Cross multiply
    707,328x = 1,546,596 × 1,546,596
  4. Step 4: Simplify right side
    707,328x = 2,391,959,187,216
  5. Step 5: Solve for x
    x = 2,391,959,187,216/707,328
  6. Step 6: Final answer
    x = 3,381,683.16

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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.