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Finding the Third Proportional to 1,248,984 and 2,596,144

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Solution

The third proportional to 1,248,984 and 2,596,144 is: 5,396,357.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,248,984 : 2,596,144 = 2,596,144 : x
  2. Step 2: Convert to fraction form
    1,248,984/2,596,144 = 2,596,144/x
  3. Step 3: Cross multiply
    1,248,984x = 2,596,144 × 2,596,144
  4. Step 4: Simplify right side
    1,248,984x = 6,739,963,668,736
  5. Step 5: Solve for x
    x = 6,739,963,668,736/1,248,984
  6. Step 6: Final answer
    x = 5,396,357.09

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.