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Finding the Third Proportional to 1,778,395.50 and 3,742,635.38

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Solution

The third proportional to 1,778,395.50 and 3,742,635.38 is: 7,876,380.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,778,395.50 : 3,742,635.38 = 3,742,635.38 : x
  2. Step 2: Convert to fraction form
    1,778,395.50/3,742,635.38 = 3,742,635.38/x
  3. Step 3: Cross multiply
    1,778,395.50x = 3,742,635.38 × 3,742,635.38
  4. Step 4: Simplify right side
    1,778,395.50x = 14,007,319,550,201.39
  5. Step 5: Solve for x
    x = 14,007,319,550,201.39/1,778,395.50
  6. Step 6: Final answer
    x = 7,876,380.45

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.