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Finding the Third Proportional to 1,165,240 and 1,574,324

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Solution

The third proportional to 1,165,240 and 1,574,324 is: 2,127,026.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,165,240 : 1,574,324 = 1,574,324 : x
  2. Step 2: Convert to fraction form
    1,165,240/1,574,324 = 1,574,324/x
  3. Step 3: Cross multiply
    1,165,240x = 1,574,324 × 1,574,324
  4. Step 4: Simplify right side
    1,165,240x = 2,478,496,056,976
  5. Step 5: Solve for x
    x = 2,478,496,056,976/1,165,240
  6. Step 6: Final answer
    x = 2,127,026.24

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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.