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Finding the Third Proportional to 1,073,136 and 2,332,641

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Solution

The third proportional to 1,073,136 and 2,332,641 is: 5,070,386.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,073,136 : 2,332,641 = 2,332,641 : x
  2. Step 2: Convert to fraction form
    1,073,136/2,332,641 = 2,332,641/x
  3. Step 3: Cross multiply
    1,073,136x = 2,332,641 × 2,332,641
  4. Step 4: Simplify right side
    1,073,136x = 5,441,214,034,881
  5. Step 5: Solve for x
    x = 5,441,214,034,881/1,073,136
  6. Step 6: Final answer
    x = 5,070,386.27

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.