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Finding the Third Proportional to 1,106,522 and 1,708,896

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Solution

The third proportional to 1,106,522 and 1,708,896 is: 2,639,193.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,106,522 : 1,708,896 = 1,708,896 : x
  2. Step 2: Convert to fraction form
    1,106,522/1,708,896 = 1,708,896/x
  3. Step 3: Cross multiply
    1,106,522x = 1,708,896 × 1,708,896
  4. Step 4: Simplify right side
    1,106,522x = 2,920,325,538,816
  5. Step 5: Solve for x
    x = 2,920,325,538,816/1,106,522
  6. Step 6: Final answer
    x = 2,639,193.38

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.