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Finding the Third Proportional to 414,688,038 and 890,917,803

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Solution

The third proportional to 414,688,038 and 890,917,803 is: 1,914,052,152.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,688,038 : 890,917,803 = 890,917,803 : x
  2. Step 2: Convert to fraction form
    414,688,038/890,917,803 = 890,917,803/x
  3. Step 3: Cross multiply
    414,688,038x = 890,917,803 × 890,917,803
  4. Step 4: Simplify right side
    414,688,038x = 793,734,531,702,346,752
  5. Step 5: Solve for x
    x = 793,734,531,702,346,752/414,688,038
  6. Step 6: Final answer
    x = 1,914,052,152.39

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