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Finding the Third Proportional to 580,618 and 1,244,180

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Solution

The third proportional to 580,618 and 1,244,180 is: 2,666,096.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,618 : 1,244,180 = 1,244,180 : x
  2. Step 2: Convert to fraction form
    580,618/1,244,180 = 1,244,180/x
  3. Step 3: Cross multiply
    580,618x = 1,244,180 × 1,244,180
  4. Step 4: Simplify right side
    580,618x = 1,547,983,872,400
  5. Step 5: Solve for x
    x = 1,547,983,872,400/580,618
  6. Step 6: Final answer
    x = 2,666,096.94

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.