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Finding the Third Proportional to 740,825 and 1,106,359

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Solution

The third proportional to 740,825 and 1,106,359 is: 1,652,252.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    740,825 : 1,106,359 = 1,106,359 : x
  2. Step 2: Convert to fraction form
    740,825/1,106,359 = 1,106,359/x
  3. Step 3: Cross multiply
    740,825x = 1,106,359 × 1,106,359
  4. Step 4: Simplify right side
    740,825x = 1,224,030,236,881
  5. Step 5: Solve for x
    x = 1,224,030,236,881/740,825
  6. Step 6: Final answer
    x = 1,652,252.88

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.