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Finding the Third Proportional to 614,289,669 and 869,201,046

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Solution

The third proportional to 614,289,669 and 869,201,046 is: 1,229,892,828.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,289,669 : 869,201,046 = 869,201,046 : x
  2. Step 2: Convert to fraction form
    614,289,669/869,201,046 = 869,201,046/x
  3. Step 3: Cross multiply
    614,289,669x = 869,201,046 × 869,201,046
  4. Step 4: Simplify right side
    614,289,669x = 755,510,458,367,494,144
  5. Step 5: Solve for x
    x = 755,510,458,367,494,144/614,289,669
  6. Step 6: Final answer
    x = 1,229,892,828.24

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.