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Finding the Third Proportional to 1,564,466 and 3,427,823

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Solution

The third proportional to 1,564,466 and 3,427,823 is: 7,510,531.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,564,466 : 3,427,823 = 3,427,823 : x
  2. Step 2: Convert to fraction form
    1,564,466/3,427,823 = 3,427,823/x
  3. Step 3: Cross multiply
    1,564,466x = 3,427,823 × 3,427,823
  4. Step 4: Simplify right side
    1,564,466x = 11,749,970,519,329
  5. Step 5: Solve for x
    x = 11,749,970,519,329/1,564,466
  6. Step 6: Final answer
    x = 7,510,531.08

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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.