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Finding the Third Proportional to 714,268 and 1,080,618

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Solution

The third proportional to 714,268 and 1,080,618 is: 1,634,869.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,268 : 1,080,618 = 1,080,618 : x
  2. Step 2: Convert to fraction form
    714,268/1,080,618 = 1,080,618/x
  3. Step 3: Cross multiply
    714,268x = 1,080,618 × 1,080,618
  4. Step 4: Simplify right side
    714,268x = 1,167,735,261,924
  5. Step 5: Solve for x
    x = 1,167,735,261,924/714,268
  6. Step 6: Final answer
    x = 1,634,869.91

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.