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Finding the Third Proportional to 443,400 and 969,618

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Solution

The third proportional to 443,400 and 969,618 is: 2,120,340.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,400 : 969,618 = 969,618 : x
  2. Step 2: Convert to fraction form
    443,400/969,618 = 969,618/x
  3. Step 3: Cross multiply
    443,400x = 969,618 × 969,618
  4. Step 4: Simplify right side
    443,400x = 940,159,065,924
  5. Step 5: Solve for x
    x = 940,159,065,924/443,400
  6. Step 6: Final answer
    x = 2,120,340.70

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.