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Finding the Third Proportional to 1,010,712 and 2,211,329

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Solution

The third proportional to 1,010,712 and 2,211,329 is: 4,838,149.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,010,712 : 2,211,329 = 2,211,329 : x
  2. Step 2: Convert to fraction form
    1,010,712/2,211,329 = 2,211,329/x
  3. Step 3: Cross multiply
    1,010,712x = 2,211,329 × 2,211,329
  4. Step 4: Simplify right side
    1,010,712x = 4,889,975,946,241
  5. Step 5: Solve for x
    x = 4,889,975,946,241/1,010,712
  6. Step 6: Final answer
    x = 4,838,149.69

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.