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Finding the Third Proportional to 1,017,387.84 and 1,574,614.37

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Solution

The third proportional to 1,017,387.84 and 1,574,614.37 is: 2,437,035.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,017,387.84 : 1,574,614.37 = 1,574,614.37 : x
  2. Step 2: Convert to fraction form
    1,017,387.84/1,574,614.37 = 1,574,614.37/x
  3. Step 3: Cross multiply
    1,017,387.84x = 1,574,614.37 × 1,574,614.37
  4. Step 4: Simplify right side
    1,017,387.84x = 2,479,410,417,655.12
  5. Step 5: Solve for x
    x = 2,479,410,417,655.12/1,017,387.84
  6. Step 6: Final answer
    x = 2,437,035.62

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.