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Finding the Third Proportional to 1,032,116 and 2,189,618

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Solution

The third proportional to 1,032,116 and 2,189,618 is: 4,645,240.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,032,116 : 2,189,618 = 2,189,618 : x
  2. Step 2: Convert to fraction form
    1,032,116/2,189,618 = 2,189,618/x
  3. Step 3: Cross multiply
    1,032,116x = 2,189,618 × 2,189,618
  4. Step 4: Simplify right side
    1,032,116x = 4,794,426,985,924
  5. Step 5: Solve for x
    x = 4,794,426,985,924/1,032,116
  6. Step 6: Final answer
    x = 4,645,240.44

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.