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Finding the Third Proportional to 828,132 and 1,254,618

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Solution

The third proportional to 828,132 and 1,254,618 is: 1,900,743.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    828,132 : 1,254,618 = 1,254,618 : x
  2. Step 2: Convert to fraction form
    828,132/1,254,618 = 1,254,618/x
  3. Step 3: Cross multiply
    828,132x = 1,254,618 × 1,254,618
  4. Step 4: Simplify right side
    828,132x = 1,574,066,325,924
  5. Step 5: Solve for x
    x = 1,574,066,325,924/828,132
  6. Step 6: Final answer
    x = 1,900,743.27

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