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Finding the Third Proportional to 946,618 and 2,037,577

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Solution

The third proportional to 946,618 and 2,037,577 is: 4,385,845.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    946,618 : 2,037,577 = 2,037,577 : x
  2. Step 2: Convert to fraction form
    946,618/2,037,577 = 2,037,577/x
  3. Step 3: Cross multiply
    946,618x = 2,037,577 × 2,037,577
  4. Step 4: Simplify right side
    946,618x = 4,151,720,030,929
  5. Step 5: Solve for x
    x = 4,151,720,030,929/946,618
  6. Step 6: Final answer
    x = 4,385,845.22

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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.