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Finding the Third Proportional to 654,734 and 1,021,896

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Solution

The third proportional to 654,734 and 1,021,896 is: 1,594,955.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,734 : 1,021,896 = 1,021,896 : x
  2. Step 2: Convert to fraction form
    654,734/1,021,896 = 1,021,896/x
  3. Step 3: Cross multiply
    654,734x = 1,021,896 × 1,021,896
  4. Step 4: Simplify right side
    654,734x = 1,044,271,434,816
  5. Step 5: Solve for x
    x = 1,044,271,434,816/654,734
  6. Step 6: Final answer
    x = 1,594,955.26

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.