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Finding the Third Proportional to 598,852,678 and 1,303,155,890

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Solution

The third proportional to 598,852,678 and 1,303,155,890 is: 2,835,781,380.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,852,678 : 1,303,155,890 = 1,303,155,890 : x
  2. Step 2: Convert to fraction form
    598,852,678/1,303,155,890 = 1,303,155,890/x
  3. Step 3: Cross multiply
    598,852,678x = 1,303,155,890 × 1,303,155,890
  4. Step 4: Simplify right side
    598,852,678x = 1,698,215,273,641,692,160
  5. Step 5: Solve for x
    x = 1,698,215,273,641,692,160/598,852,678
  6. Step 6: Final answer
    x = 2,835,781,380.01

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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.