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Finding the Third Proportional to 1,721,175 and 3,746,343

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Solution

The third proportional to 1,721,175 and 3,746,343 is: 8,154,363.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,721,175 : 3,746,343 = 3,746,343 : x
  2. Step 2: Convert to fraction form
    1,721,175/3,746,343 = 3,746,343/x
  3. Step 3: Cross multiply
    1,721,175x = 3,746,343 × 3,746,343
  4. Step 4: Simplify right side
    1,721,175x = 14,035,085,873,649
  5. Step 5: Solve for x
    x = 14,035,085,873,649/1,721,175
  6. Step 6: Final answer
    x = 8,154,363.08

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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.