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Finding the Third Proportional to 1,376,298 and 2,849,370

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Solution

The third proportional to 1,376,298 and 2,849,370 is: 5,899,092.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,376,298 : 2,849,370 = 2,849,370 : x
  2. Step 2: Convert to fraction form
    1,376,298/2,849,370 = 2,849,370/x
  3. Step 3: Cross multiply
    1,376,298x = 2,849,370 × 2,849,370
  4. Step 4: Simplify right side
    1,376,298x = 8,118,909,396,900
  5. Step 5: Solve for x
    x = 8,118,909,396,900/1,376,298
  6. Step 6: Final answer
    x = 5,899,092.64

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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.