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Finding the Third Proportional to 923,509,596 and 1,431,185,592

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Solution

The third proportional to 923,509,596 and 1,431,185,592 is: 2,217,943,600.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    923,509,596 : 1,431,185,592 = 1,431,185,592 : x
  2. Step 2: Convert to fraction form
    923,509,596/1,431,185,592 = 1,431,185,592/x
  3. Step 3: Cross multiply
    923,509,596x = 1,431,185,592 × 1,431,185,592
  4. Step 4: Simplify right side
    923,509,596x = 2,048,292,198,748,390,400
  5. Step 5: Solve for x
    x = 2,048,292,198,748,390,400/923,509,596
  6. Step 6: Final answer
    x = 2,217,943,600.82

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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.