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Finding the Third Proportional to 873,096,231 and 1,309,323,657

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Solution

The third proportional to 873,096,231 and 1,309,323,657 is: 1,963,504,569.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    873,096,231 : 1,309,323,657 = 1,309,323,657 : x
  2. Step 2: Convert to fraction form
    873,096,231/1,309,323,657 = 1,309,323,657/x
  3. Step 3: Cross multiply
    873,096,231x = 1,309,323,657 × 1,309,323,657
  4. Step 4: Simplify right side
    873,096,231x = 1,714,328,438,779,853,568
  5. Step 5: Solve for x
    x = 1,714,328,438,779,853,568/873,096,231
  6. Step 6: Final answer
    x = 1,963,504,569.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.