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Finding the Third Proportional to 548,456,409 and 1,186,369,592

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Solution

The third proportional to 548,456,409 and 1,186,369,592 is: 2,566,243,708.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,456,409 : 1,186,369,592 = 1,186,369,592 : x
  2. Step 2: Convert to fraction form
    548,456,409/1,186,369,592 = 1,186,369,592/x
  3. Step 3: Cross multiply
    548,456,409x = 1,186,369,592 × 1,186,369,592
  4. Step 4: Simplify right side
    548,456,409x = 1,407,472,808,822,246,400
  5. Step 5: Solve for x
    x = 1,407,472,808,822,246,400/548,456,409
  6. Step 6: Final answer
    x = 2,566,243,708.21

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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.