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Finding the Third Proportional to 1,085,106 and 1,597,678

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Solution

The third proportional to 1,085,106 and 1,597,678 is: 2,352,373.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,085,106 : 1,597,678 = 1,597,678 : x
  2. Step 2: Convert to fraction form
    1,085,106/1,597,678 = 1,597,678/x
  3. Step 3: Cross multiply
    1,085,106x = 1,597,678 × 1,597,678
  4. Step 4: Simplify right side
    1,085,106x = 2,552,574,991,684
  5. Step 5: Solve for x
    x = 2,552,574,991,684/1,085,106
  6. Step 6: Final answer
    x = 2,352,373.86

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.