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Finding the Third Proportional to 2,117,370 and 4,615,404

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Solution

The third proportional to 2,117,370 and 4,615,404 is: 10,060,572.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,117,370 : 4,615,404 = 4,615,404 : x
  2. Step 2: Convert to fraction form
    2,117,370/4,615,404 = 4,615,404/x
  3. Step 3: Cross multiply
    2,117,370x = 4,615,404 × 4,615,404
  4. Step 4: Simplify right side
    2,117,370x = 21,301,954,083,216
  5. Step 5: Solve for x
    x = 21,301,954,083,216/2,117,370
  6. Step 6: Final answer
    x = 10,060,572.35

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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.