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Finding the Third Proportional to 714,916 and 1,488,638

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Solution

The third proportional to 714,916 and 1,488,638 is: 3,099,725.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,916 : 1,488,638 = 1,488,638 : x
  2. Step 2: Convert to fraction form
    714,916/1,488,638 = 1,488,638/x
  3. Step 3: Cross multiply
    714,916x = 1,488,638 × 1,488,638
  4. Step 4: Simplify right side
    714,916x = 2,216,043,095,044
  5. Step 5: Solve for x
    x = 2,216,043,095,044/714,916
  6. Step 6: Final answer
    x = 3,099,725.14

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.