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Finding the Third Proportional to 435,324,528 and 665,647,618

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Solution

The third proportional to 435,324,528 and 665,647,618 is: 1,017,830,889.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,324,528 : 665,647,618 = 665,647,618 : x
  2. Step 2: Convert to fraction form
    435,324,528/665,647,618 = 665,647,618/x
  3. Step 3: Cross multiply
    435,324,528x = 665,647,618 × 665,647,618
  4. Step 4: Simplify right side
    435,324,528x = 443,086,751,349,073,920
  5. Step 5: Solve for x
    x = 443,086,751,349,073,920/435,324,528
  6. Step 6: Final answer
    x = 1,017,830,889.03

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.