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Finding the Third Proportional to 450,254,734 and 672,731,455

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Solution

The third proportional to 450,254,734 and 672,731,455 is: 1,005,136,817.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,254,734 : 672,731,455 = 672,731,455 : x
  2. Step 2: Convert to fraction form
    450,254,734/672,731,455 = 672,731,455/x
  3. Step 3: Cross multiply
    450,254,734x = 672,731,455 × 672,731,455
  4. Step 4: Simplify right side
    450,254,734x = 452,567,610,546,417,024
  5. Step 5: Solve for x
    x = 452,567,610,546,417,024/450,254,734
  6. Step 6: Final answer
    x = 1,005,136,817.83

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Why These Related Problems?

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