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Finding the Third Proportional to 1,216,712 and 2,816,609

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Solution

The third proportional to 1,216,712 and 2,816,609 is: 6,520,266.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,216,712 : 2,816,609 = 2,816,609 : x
  2. Step 2: Convert to fraction form
    1,216,712/2,816,609 = 2,816,609/x
  3. Step 3: Cross multiply
    1,216,712x = 2,816,609 × 2,816,609
  4. Step 4: Simplify right side
    1,216,712x = 7,933,286,258,881
  5. Step 5: Solve for x
    x = 7,933,286,258,881/1,216,712
  6. Step 6: Final answer
    x = 6,520,266.31

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.