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Finding the Third Proportional to 1,564,008 and 3,407,940

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Solution

The third proportional to 1,564,008 and 3,407,940 is: 7,425,828.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,564,008 : 3,407,940 = 3,407,940 : x
  2. Step 2: Convert to fraction form
    1,564,008/3,407,940 = 3,407,940/x
  3. Step 3: Cross multiply
    1,564,008x = 3,407,940 × 3,407,940
  4. Step 4: Simplify right side
    1,564,008x = 11,614,055,043,600
  5. Step 5: Solve for x
    x = 11,614,055,043,600/1,564,008
  6. Step 6: Final answer
    x = 7,425,828.41

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