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Finding the Third Proportional to 3,041,786 and 4,708,295

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Solution

The third proportional to 3,041,786 and 4,708,295 is: 7,287,837.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,041,786 : 4,708,295 = 4,708,295 : x
  2. Step 2: Convert to fraction form
    3,041,786/4,708,295 = 4,708,295/x
  3. Step 3: Cross multiply
    3,041,786x = 4,708,295 × 4,708,295
  4. Step 4: Simplify right side
    3,041,786x = 22,168,041,807,025
  5. Step 5: Solve for x
    x = 22,168,041,807,025/3,041,786
  6. Step 6: Final answer
    x = 7,287,837.41

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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.