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Finding the Third Proportional to 407,457,590 and 883,819,760

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Solution

The third proportional to 407,457,590 and 883,819,760 is: 1,917,101,036.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,457,590 : 883,819,760 = 883,819,760 : x
  2. Step 2: Convert to fraction form
    407,457,590/883,819,760 = 883,819,760/x
  3. Step 3: Cross multiply
    407,457,590x = 883,819,760 × 883,819,760
  4. Step 4: Simplify right side
    407,457,590x = 781,137,368,166,457,600
  5. Step 5: Solve for x
    x = 781,137,368,166,457,600/407,457,590
  6. Step 6: Final answer
    x = 1,917,101,036.62

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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.