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Finding the Third Proportional to 457,002 and 1,002,618

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Solution

The third proportional to 457,002 and 1,002,618 is: 2,199,646.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,002 : 1,002,618 = 1,002,618 : x
  2. Step 2: Convert to fraction form
    457,002/1,002,618 = 1,002,618/x
  3. Step 3: Cross multiply
    457,002x = 1,002,618 × 1,002,618
  4. Step 4: Simplify right side
    457,002x = 1,005,242,853,924
  5. Step 5: Solve for x
    x = 1,005,242,853,924/457,002
  6. Step 6: Final answer
    x = 2,199,646.51

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.