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Finding the Third Proportional to 1,263,871 and 2,705,618

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Solution

The third proportional to 1,263,871 and 2,705,618 is: 5,792,022.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,263,871 : 2,705,618 = 2,705,618 : x
  2. Step 2: Convert to fraction form
    1,263,871/2,705,618 = 2,705,618/x
  3. Step 3: Cross multiply
    1,263,871x = 2,705,618 × 2,705,618
  4. Step 4: Simplify right side
    1,263,871x = 7,320,368,761,924
  5. Step 5: Solve for x
    x = 7,320,368,761,924/1,263,871
  6. Step 6: Final answer
    x = 5,792,022.10

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.