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Finding the Third Proportional to 1,009,136 and 1,681,828

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Solution

The third proportional to 1,009,136 and 1,681,828 is: 2,802,937.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,009,136 : 1,681,828 = 1,681,828 : x
  2. Step 2: Convert to fraction form
    1,009,136/1,681,828 = 1,681,828/x
  3. Step 3: Cross multiply
    1,009,136x = 1,681,828 × 1,681,828
  4. Step 4: Simplify right side
    1,009,136x = 2,828,545,421,584
  5. Step 5: Solve for x
    x = 2,828,545,421,584/1,009,136
  6. Step 6: Final answer
    x = 2,802,937.78

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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.