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Finding the Third Proportional to 1,971,864 and 4,242,618

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Solution

The third proportional to 1,971,864 and 4,242,618 is: 9,128,320.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,971,864 : 4,242,618 = 4,242,618 : x
  2. Step 2: Convert to fraction form
    1,971,864/4,242,618 = 4,242,618/x
  3. Step 3: Cross multiply
    1,971,864x = 4,242,618 × 4,242,618
  4. Step 4: Simplify right side
    1,971,864x = 17,999,807,493,924
  5. Step 5: Solve for x
    x = 17,999,807,493,924/1,971,864
  6. Step 6: Final answer
    x = 9,128,320.97

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