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Finding the Third Proportional to 1,666,532 and 3,569,244

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Solution

The third proportional to 1,666,532 and 3,569,244 is: 7,644,319.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,666,532 : 3,569,244 = 3,569,244 : x
  2. Step 2: Convert to fraction form
    1,666,532/3,569,244 = 3,569,244/x
  3. Step 3: Cross multiply
    1,666,532x = 3,569,244 × 3,569,244
  4. Step 4: Simplify right side
    1,666,532x = 12,739,502,731,536
  5. Step 5: Solve for x
    x = 12,739,502,731,536/1,666,532
  6. Step 6: Final answer
    x = 7,644,319.30

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.