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Finding the Third Proportional to 1,746,411 and 3,758,399

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Solution

The third proportional to 1,746,411 and 3,758,399 is: 8,088,338.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,746,411 : 3,758,399 = 3,758,399 : x
  2. Step 2: Convert to fraction form
    1,746,411/3,758,399 = 3,758,399/x
  3. Step 3: Cross multiply
    1,746,411x = 3,758,399 × 3,758,399
  4. Step 4: Simplify right side
    1,746,411x = 14,125,563,043,201
  5. Step 5: Solve for x
    x = 14,125,563,043,201/1,746,411
  6. Step 6: Final answer
    x = 8,088,338.34

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.