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Finding the Third Proportional to 653,698 and 1,412,433

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Solution

The third proportional to 653,698 and 1,412,433 is: 3,051,817.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,698 : 1,412,433 = 1,412,433 : x
  2. Step 2: Convert to fraction form
    653,698/1,412,433 = 1,412,433/x
  3. Step 3: Cross multiply
    653,698x = 1,412,433 × 1,412,433
  4. Step 4: Simplify right side
    653,698x = 1,994,966,979,489
  5. Step 5: Solve for x
    x = 1,994,966,979,489/653,698
  6. Step 6: Final answer
    x = 3,051,817.47

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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.