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Finding the Third Proportional to 3,010,393.50 and 4,291,369.50

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Solution

The third proportional to 3,010,393.50 and 4,291,369.50 is: 6,117,423.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,010,393.50 : 4,291,369.50 = 4,291,369.50 : x
  2. Step 2: Convert to fraction form
    3,010,393.50/4,291,369.50 = 4,291,369.50/x
  3. Step 3: Cross multiply
    3,010,393.50x = 4,291,369.50 × 4,291,369.50
  4. Step 4: Simplify right side
    3,010,393.50x = 18,415,852,185,530.25
  5. Step 5: Solve for x
    x = 18,415,852,185,530.25/3,010,393.50
  6. Step 6: Final answer
    x = 6,117,423.58

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.