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Finding the Third Proportional to 594,047 and 1,277,618

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Solution

The third proportional to 594,047 and 1,277,618 is: 2,747,775.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,047 : 1,277,618 = 1,277,618 : x
  2. Step 2: Convert to fraction form
    594,047/1,277,618 = 1,277,618/x
  3. Step 3: Cross multiply
    594,047x = 1,277,618 × 1,277,618
  4. Step 4: Simplify right side
    594,047x = 1,632,307,753,924
  5. Step 5: Solve for x
    x = 1,632,307,753,924/594,047
  6. Step 6: Final answer
    x = 2,747,775.44

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.