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Finding the Third Proportional to 354,886,494 and 776,561,052

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Solution

The third proportional to 354,886,494 and 776,561,052 is: 1,699,267,449.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,886,494 : 776,561,052 = 776,561,052 : x
  2. Step 2: Convert to fraction form
    354,886,494/776,561,052 = 776,561,052/x
  3. Step 3: Cross multiply
    354,886,494x = 776,561,052 × 776,561,052
  4. Step 4: Simplify right side
    354,886,494x = 603,047,067,483,346,688
  5. Step 5: Solve for x
    x = 603,047,067,483,346,688/354,886,494
  6. Step 6: Final answer
    x = 1,699,267,449.39

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.