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Finding the Third Proportional to 1,270,152 and 2,739,736

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Solution

The third proportional to 1,270,152 and 2,739,736 is: 5,909,649.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,270,152 : 2,739,736 = 2,739,736 : x
  2. Step 2: Convert to fraction form
    1,270,152/2,739,736 = 2,739,736/x
  3. Step 3: Cross multiply
    1,270,152x = 2,739,736 × 2,739,736
  4. Step 4: Simplify right side
    1,270,152x = 7,506,153,349,696
  5. Step 5: Solve for x
    x = 7,506,153,349,696/1,270,152
  6. Step 6: Final answer
    x = 5,909,649.67

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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.