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Finding the Third Proportional to 917,574.75 and 1,400,527.13

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Solution

The third proportional to 917,574.75 and 1,400,527.13 is: 2,137,674.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    917,574.75 : 1,400,527.13 = 1,400,527.13 : x
  2. Step 2: Convert to fraction form
    917,574.75/1,400,527.13 = 1,400,527.13/x
  3. Step 3: Cross multiply
    917,574.75x = 1,400,527.13 × 1,400,527.13
  4. Step 4: Simplify right side
    917,574.75x = 1,961,476,227,860.77
  5. Step 5: Solve for x
    x = 1,961,476,227,860.77/917,574.75
  6. Step 6: Final answer
    x = 2,137,674.59

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.