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Finding the Third Proportional to 740,803 and 1,121,532

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Solution

The third proportional to 740,803 and 1,121,532 is: 1,697,933.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    740,803 : 1,121,532 = 1,121,532 : x
  2. Step 2: Convert to fraction form
    740,803/1,121,532 = 1,121,532/x
  3. Step 3: Cross multiply
    740,803x = 1,121,532 × 1,121,532
  4. Step 4: Simplify right side
    740,803x = 1,257,834,027,024
  5. Step 5: Solve for x
    x = 1,257,834,027,024/740,803
  6. Step 6: Final answer
    x = 1,697,933.23

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.