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Finding the Third Proportional to 1,746,708 and 3,818,232

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Solution

The third proportional to 1,746,708 and 3,818,232 is: 8,346,498.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,746,708 : 3,818,232 = 3,818,232 : x
  2. Step 2: Convert to fraction form
    1,746,708/3,818,232 = 3,818,232/x
  3. Step 3: Cross multiply
    1,746,708x = 3,818,232 × 3,818,232
  4. Step 4: Simplify right side
    1,746,708x = 14,578,895,605,824
  5. Step 5: Solve for x
    x = 14,578,895,605,824/1,746,708
  6. Step 6: Final answer
    x = 8,346,498.44

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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.