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Finding the Third Proportional to 1,165,089 and 1,574,105

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Solution

The third proportional to 1,165,089 and 1,574,105 is: 2,126,710.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,165,089 : 1,574,105 = 1,574,105 : x
  2. Step 2: Convert to fraction form
    1,165,089/1,574,105 = 1,574,105/x
  3. Step 3: Cross multiply
    1,165,089x = 1,574,105 × 1,574,105
  4. Step 4: Simplify right side
    1,165,089x = 2,477,806,551,025
  5. Step 5: Solve for x
    x = 2,477,806,551,025/1,165,089
  6. Step 6: Final answer
    x = 2,126,710.11

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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.