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Finding the Third Proportional to 450,254,700 and 672,731,406

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Solution

The third proportional to 450,254,700 and 672,731,406 is: 1,005,136,747.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,254,700 : 672,731,406 = 672,731,406 : x
  2. Step 2: Convert to fraction form
    450,254,700/672,731,406 = 672,731,406/x
  3. Step 3: Cross multiply
    450,254,700x = 672,731,406 × 672,731,406
  4. Step 4: Simplify right side
    450,254,700x = 452,567,544,618,736,832
  5. Step 5: Solve for x
    x = 452,567,544,618,736,832/450,254,700
  6. Step 6: Final answer
    x = 1,005,136,747.31

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.