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Finding the Third Proportional to 581,796,124 and 1,254,265,592

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Solution

The third proportional to 581,796,124 and 1,254,265,592 is: 2,704,009,377.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    581,796,124 : 1,254,265,592 = 1,254,265,592 : x
  2. Step 2: Convert to fraction form
    581,796,124/1,254,265,592 = 1,254,265,592/x
  3. Step 3: Cross multiply
    581,796,124x = 1,254,265,592 × 1,254,265,592
  4. Step 4: Simplify right side
    581,796,124x = 1,573,182,175,275,110,400
  5. Step 5: Solve for x
    x = 1,573,182,175,275,110,400/581,796,124
  6. Step 6: Final answer
    x = 2,704,009,377.82

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.