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Finding the Third Proportional to 1,009,120 and 1,681,806

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Solution

The third proportional to 1,009,120 and 1,681,806 is: 2,802,908.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,009,120 : 1,681,806 = 1,681,806 : x
  2. Step 2: Convert to fraction form
    1,009,120/1,681,806 = 1,681,806/x
  3. Step 3: Cross multiply
    1,009,120x = 1,681,806 × 1,681,806
  4. Step 4: Simplify right side
    1,009,120x = 2,828,471,421,636
  5. Step 5: Solve for x
    x = 2,828,471,421,636/1,009,120
  6. Step 6: Final answer
    x = 2,802,908.89

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These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.