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Finding the Third Proportional to 1,346,495 and 2,946,367

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Solution

The third proportional to 1,346,495 and 2,946,367 is: 6,447,167.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,346,495 : 2,946,367 = 2,946,367 : x
  2. Step 2: Convert to fraction form
    1,346,495/2,946,367 = 2,946,367/x
  3. Step 3: Cross multiply
    1,346,495x = 2,946,367 × 2,946,367
  4. Step 4: Simplify right side
    1,346,495x = 8,681,078,498,689
  5. Step 5: Solve for x
    x = 8,681,078,498,689/1,346,495
  6. Step 6: Final answer
    x = 6,447,167.27

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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.