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Finding the Third Proportional to 598,852,686 and 1,303,155,908

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Solution

The third proportional to 598,852,686 and 1,303,155,908 is: 2,835,781,420.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,852,686 : 1,303,155,908 = 1,303,155,908 : x
  2. Step 2: Convert to fraction form
    598,852,686/1,303,155,908 = 1,303,155,908/x
  3. Step 3: Cross multiply
    598,852,686x = 1,303,155,908 × 1,303,155,908
  4. Step 4: Simplify right side
    598,852,686x = 1,698,215,320,555,304,448
  5. Step 5: Solve for x
    x = 1,698,215,320,555,304,448/598,852,686
  6. Step 6: Final answer
    x = 2,835,781,420.47

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.