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Finding the Third Proportional to 609,228,873.75 and 928,127,823

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Solution

The third proportional to 609,228,873.75 and 928,127,823 is: 1,413,953,430.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    609,228,873.75 : 928,127,823 = 928,127,823 : x
  2. Step 2: Convert to fraction form
    609,228,873.75/928,127,823 = 928,127,823/x
  3. Step 3: Cross multiply
    609,228,873.75x = 928,127,823 × 928,127,823
  4. Step 4: Simplify right side
    609,228,873.75x = 861,421,255,826,719,360
  5. Step 5: Solve for x
    x = 861,421,255,826,719,360/609,228,873.75
  6. Step 6: Final answer
    x = 1,413,953,430.22

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.