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Finding the Third Proportional to 530,250,803 and 1,152,285,896

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Solution

The third proportional to 530,250,803 and 1,152,285,896 is: 2,504,027,864.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,250,803 : 1,152,285,896 = 1,152,285,896 : x
  2. Step 2: Convert to fraction form
    530,250,803/1,152,285,896 = 1,152,285,896/x
  3. Step 3: Cross multiply
    530,250,803x = 1,152,285,896 × 1,152,285,896
  4. Step 4: Simplify right side
    530,250,803x = 1,327,762,786,120,522,752
  5. Step 5: Solve for x
    x = 1,327,762,786,120,522,752/530,250,803
  6. Step 6: Final answer
    x = 2,504,027,864.94

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.