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Finding the Third Proportional to 614,022,254 and 1,002,536,938

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Solution

The third proportional to 614,022,254 and 1,002,536,938 is: 1,636,879,291.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,022,254 : 1,002,536,938 = 1,002,536,938 : x
  2. Step 2: Convert to fraction form
    614,022,254/1,002,536,938 = 1,002,536,938/x
  3. Step 3: Cross multiply
    614,022,254x = 1,002,536,938 × 1,002,536,938
  4. Step 4: Simplify right side
    614,022,254x = 1,005,080,312,054,415,872
  5. Step 5: Solve for x
    x = 1,005,080,312,054,415,872/614,022,254
  6. Step 6: Final answer
    x = 1,636,879,291.44

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.