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Finding the Third Proportional to 2,125,215 and 4,586,283

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Solution

The third proportional to 2,125,215 and 4,586,283 is: 9,897,347.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,125,215 : 4,586,283 = 4,586,283 : x
  2. Step 2: Convert to fraction form
    2,125,215/4,586,283 = 4,586,283/x
  3. Step 3: Cross multiply
    2,125,215x = 4,586,283 × 4,586,283
  4. Step 4: Simplify right side
    2,125,215x = 21,033,991,756,089
  5. Step 5: Solve for x
    x = 21,033,991,756,089/2,125,215
  6. Step 6: Final answer
    x = 9,897,347.68

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.