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Finding the Third Proportional to 1,165,088.25 and 1,574,109

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Solution

The third proportional to 1,165,088.25 and 1,574,109 is: 2,126,722.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,165,088.25 : 1,574,109 = 1,574,109 : x
  2. Step 2: Convert to fraction form
    1,165,088.25/1,574,109 = 1,574,109/x
  3. Step 3: Cross multiply
    1,165,088.25x = 1,574,109 × 1,574,109
  4. Step 4: Simplify right side
    1,165,088.25x = 2,477,819,143,881
  5. Step 5: Solve for x
    x = 2,477,819,143,881/1,165,088.25
  6. Step 6: Final answer
    x = 2,126,722.28

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.