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Finding the Third Proportional to 1,746,808.88 and 3,801,164.63

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Solution

The third proportional to 1,746,808.88 and 3,801,164.63 is: 8,271,570.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,746,808.88 : 3,801,164.63 = 3,801,164.63 : x
  2. Step 2: Convert to fraction form
    1,746,808.88/3,801,164.63 = 3,801,164.63/x
  3. Step 3: Cross multiply
    1,746,808.88x = 3,801,164.63 × 3,801,164.63
  4. Step 4: Simplify right side
    1,746,808.88x = 14,448,852,506,351.39
  5. Step 5: Solve for x
    x = 14,448,852,506,351.39/1,746,808.88
  6. Step 6: Final answer
    x = 8,271,570.36

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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.