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Finding the Third Proportional to 649,918 and 1,402,593

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Solution

The third proportional to 649,918 and 1,402,593 is: 3,026,946.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,918 : 1,402,593 = 1,402,593 : x
  2. Step 2: Convert to fraction form
    649,918/1,402,593 = 1,402,593/x
  3. Step 3: Cross multiply
    649,918x = 1,402,593 × 1,402,593
  4. Step 4: Simplify right side
    649,918x = 1,967,267,123,649
  5. Step 5: Solve for x
    x = 1,967,267,123,649/649,918
  6. Step 6: Final answer
    x = 3,026,946.67

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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.