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Finding the Third Proportional to 640,269 and 1,398,618

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Solution

The third proportional to 640,269 and 1,398,618 is: 3,055,172.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,269 : 1,398,618 = 1,398,618 : x
  2. Step 2: Convert to fraction form
    640,269/1,398,618 = 1,398,618/x
  3. Step 3: Cross multiply
    640,269x = 1,398,618 × 1,398,618
  4. Step 4: Simplify right side
    640,269x = 1,956,132,309,924
  5. Step 5: Solve for x
    x = 1,956,132,309,924/640,269
  6. Step 6: Final answer
    x = 3,055,172.61

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.