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Finding the Third Proportional to 1,165,324 and 1,574,448

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Solution

The third proportional to 1,165,324 and 1,574,448 is: 2,127,207.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,165,324 : 1,574,448 = 1,574,448 : x
  2. Step 2: Convert to fraction form
    1,165,324/1,574,448 = 1,574,448/x
  3. Step 3: Cross multiply
    1,165,324x = 1,574,448 × 1,574,448
  4. Step 4: Simplify right side
    1,165,324x = 2,478,886,504,704
  5. Step 5: Solve for x
    x = 2,478,886,504,704/1,165,324
  6. Step 6: Final answer
    x = 2,127,207.97

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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.