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Finding the Third Proportional to 581,796,126 and 1,254,265,596

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Solution

The third proportional to 581,796,126 and 1,254,265,596 is: 2,704,009,385.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    581,796,126 : 1,254,265,596 = 1,254,265,596 : x
  2. Step 2: Convert to fraction form
    581,796,126/1,254,265,596 = 1,254,265,596/x
  3. Step 3: Cross multiply
    581,796,126x = 1,254,265,596 × 1,254,265,596
  4. Step 4: Simplify right side
    581,796,126x = 1,573,182,185,309,235,200
  5. Step 5: Solve for x
    x = 1,573,182,185,309,235,200/581,796,126
  6. Step 6: Final answer
    x = 2,704,009,385.77

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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.