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Finding the Third Proportional to 560,628,796 and 1,207,520,702

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Solution

The third proportional to 560,628,796 and 1,207,520,702 is: 2,600,840,799.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,628,796 : 1,207,520,702 = 1,207,520,702 : x
  2. Step 2: Convert to fraction form
    560,628,796/1,207,520,702 = 1,207,520,702/x
  3. Step 3: Cross multiply
    560,628,796x = 1,207,520,702 × 1,207,520,702
  4. Step 4: Simplify right side
    560,628,796x = 1,458,106,245,758,572,800
  5. Step 5: Solve for x
    x = 1,458,106,245,758,572,800/560,628,796
  6. Step 6: Final answer
    x = 2,600,840,799.05

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.