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Finding the Third Proportional to 736,348 and 1,588,676

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Solution

The third proportional to 736,348 and 1,588,676 is: 3,427,579.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    736,348 : 1,588,676 = 1,588,676 : x
  2. Step 2: Convert to fraction form
    736,348/1,588,676 = 1,588,676/x
  3. Step 3: Cross multiply
    736,348x = 1,588,676 × 1,588,676
  4. Step 4: Simplify right side
    736,348x = 2,523,891,432,976
  5. Step 5: Solve for x
    x = 2,523,891,432,976/736,348
  6. Step 6: Final answer
    x = 3,427,579.67

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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.