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Finding the Third Proportional to 2,385,642 and 4,972,470

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Solution

The third proportional to 2,385,642 and 4,972,470 is: 10,364,278.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,385,642 : 4,972,470 = 4,972,470 : x
  2. Step 2: Convert to fraction form
    2,385,642/4,972,470 = 4,972,470/x
  3. Step 3: Cross multiply
    2,385,642x = 4,972,470 × 4,972,470
  4. Step 4: Simplify right side
    2,385,642x = 24,725,457,900,900
  5. Step 5: Solve for x
    x = 24,725,457,900,900/2,385,642
  6. Step 6: Final answer
    x = 10,364,278.42

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.