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Finding the Third Proportional to 1,406,269 and 2,912,229

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Solution

The third proportional to 1,406,269 and 2,912,229 is: 6,030,907.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,406,269 : 2,912,229 = 2,912,229 : x
  2. Step 2: Convert to fraction form
    1,406,269/2,912,229 = 2,912,229/x
  3. Step 3: Cross multiply
    1,406,269x = 2,912,229 × 2,912,229
  4. Step 4: Simplify right side
    1,406,269x = 8,481,077,748,441
  5. Step 5: Solve for x
    x = 8,481,077,748,441/1,406,269
  6. Step 6: Final answer
    x = 6,030,907.14

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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.