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Finding the Third Proportional to 1,657,322 and 3,609,868

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Solution

The third proportional to 1,657,322 and 3,609,868 is: 7,862,773.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,657,322 : 3,609,868 = 3,609,868 : x
  2. Step 2: Convert to fraction form
    1,657,322/3,609,868 = 3,609,868/x
  3. Step 3: Cross multiply
    1,657,322x = 3,609,868 × 3,609,868
  4. Step 4: Simplify right side
    1,657,322x = 13,031,146,977,424
  5. Step 5: Solve for x
    x = 13,031,146,977,424/1,657,322
  6. Step 6: Final answer
    x = 7,862,773.18

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.