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Finding the Third Proportional to 1,148,768 and 1,609,807

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Solution

The third proportional to 1,148,768 and 1,609,807 is: 2,255,876.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,148,768 : 1,609,807 = 1,609,807 : x
  2. Step 2: Convert to fraction form
    1,148,768/1,609,807 = 1,609,807/x
  3. Step 3: Cross multiply
    1,148,768x = 1,609,807 × 1,609,807
  4. Step 4: Simplify right side
    1,148,768x = 2,591,478,577,249
  5. Step 5: Solve for x
    x = 2,591,478,577,249/1,148,768
  6. Step 6: Final answer
    x = 2,255,876.36

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.