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Finding the Third Proportional to 2,583,618 and 6,034,569

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Solution

The third proportional to 2,583,618 and 6,034,569 is: 14,094,971.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,583,618 : 6,034,569 = 6,034,569 : x
  2. Step 2: Convert to fraction form
    2,583,618/6,034,569 = 6,034,569/x
  3. Step 3: Cross multiply
    2,583,618x = 6,034,569 × 6,034,569
  4. Step 4: Simplify right side
    2,583,618x = 36,416,023,015,761
  5. Step 5: Solve for x
    x = 36,416,023,015,761/2,583,618
  6. Step 6: Final answer
    x = 14,094,971.86

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.