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Finding the Third Proportional to 427,226,896 and 877,102,360

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Solution

The third proportional to 427,226,896 and 877,102,360 is: 1,800,702,523.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,226,896 : 877,102,360 = 877,102,360 : x
  2. Step 2: Convert to fraction form
    427,226,896/877,102,360 = 877,102,360/x
  3. Step 3: Cross multiply
    427,226,896x = 877,102,360 × 877,102,360
  4. Step 4: Simplify right side
    427,226,896x = 769,308,549,917,569,536
  5. Step 5: Solve for x
    x = 769,308,549,917,569,536/427,226,896
  6. Step 6: Final answer
    x = 1,800,702,523.93

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.