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Finding the Third Proportional to 1,406,270 and 2,912,232

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Solution

The third proportional to 1,406,270 and 2,912,232 is: 6,030,915.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,406,270 : 2,912,232 = 2,912,232 : x
  2. Step 2: Convert to fraction form
    1,406,270/2,912,232 = 2,912,232/x
  3. Step 3: Cross multiply
    1,406,270x = 2,912,232 × 2,912,232
  4. Step 4: Simplify right side
    1,406,270x = 8,481,095,221,824
  5. Step 5: Solve for x
    x = 8,481,095,221,824/1,406,270
  6. Step 6: Final answer
    x = 6,030,915.27

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.