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Finding the Third Proportional to 1,681,767 and 3,475,642

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Solution

The third proportional to 1,681,767 and 3,475,642 is: 7,182,973.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,681,767 : 3,475,642 = 3,475,642 : x
  2. Step 2: Convert to fraction form
    1,681,767/3,475,642 = 3,475,642/x
  3. Step 3: Cross multiply
    1,681,767x = 3,475,642 × 3,475,642
  4. Step 4: Simplify right side
    1,681,767x = 12,080,087,312,164
  5. Step 5: Solve for x
    x = 12,080,087,312,164/1,681,767
  6. Step 6: Final answer
    x = 7,182,973.21

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These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.