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Finding the Third Proportional to 1,586,677 and 3,488,283

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Solution

The third proportional to 1,586,677 and 3,488,283 is: 7,668,932.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,586,677 : 3,488,283 = 3,488,283 : x
  2. Step 2: Convert to fraction form
    1,586,677/3,488,283 = 3,488,283/x
  3. Step 3: Cross multiply
    1,586,677x = 3,488,283 × 3,488,283
  4. Step 4: Simplify right side
    1,586,677x = 12,168,118,288,089
  5. Step 5: Solve for x
    x = 12,168,118,288,089/1,586,677
  6. Step 6: Final answer
    x = 7,668,932.17

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.