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Finding the Third Proportional to 672,312 and 1,456,638

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Solution

The third proportional to 672,312 and 1,456,638 is: 3,155,966.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    672,312 : 1,456,638 = 1,456,638 : x
  2. Step 2: Convert to fraction form
    672,312/1,456,638 = 1,456,638/x
  3. Step 3: Cross multiply
    672,312x = 1,456,638 × 1,456,638
  4. Step 4: Simplify right side
    672,312x = 2,121,794,263,044
  5. Step 5: Solve for x
    x = 2,121,794,263,044/672,312
  6. Step 6: Final answer
    x = 3,155,966.67

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.