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Finding the Third Proportional to 979,835,406 and 1,451,385,618

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Solution

The third proportional to 979,835,406 and 1,451,385,618 is: 2,149,871,498.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    979,835,406 : 1,451,385,618 = 1,451,385,618 : x
  2. Step 2: Convert to fraction form
    979,835,406/1,451,385,618 = 1,451,385,618/x
  3. Step 3: Cross multiply
    979,835,406x = 1,451,385,618 × 1,451,385,618
  4. Step 4: Simplify right side
    979,835,406x = 2,106,520,212,137,241,856
  5. Step 5: Solve for x
    x = 2,106,520,212,137,241,856/979,835,406
  6. Step 6: Final answer
    x = 2,149,871,498.05

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.