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Finding the Third Proportional to 1,579,748 and 2,257,414

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Solution

The third proportional to 1,579,748 and 2,257,414 is: 3,225,779.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,579,748 : 2,257,414 = 2,257,414 : x
  2. Step 2: Convert to fraction form
    1,579,748/2,257,414 = 2,257,414/x
  3. Step 3: Cross multiply
    1,579,748x = 2,257,414 × 2,257,414
  4. Step 4: Simplify right side
    1,579,748x = 5,095,917,967,396
  5. Step 5: Solve for x
    x = 5,095,917,967,396/1,579,748
  6. Step 6: Final answer
    x = 3,225,779.03

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.