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Finding the Third Proportional to 1,742,504.91 and 3,774,607.59

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Solution

The third proportional to 1,742,504.91 and 3,774,607.59 is: 8,176,540.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,742,504.91 : 3,774,607.59 = 3,774,607.59 : x
  2. Step 2: Convert to fraction form
    1,742,504.91/3,774,607.59 = 3,774,607.59/x
  3. Step 3: Cross multiply
    1,742,504.91x = 3,774,607.59 × 3,774,607.59
  4. Step 4: Simplify right side
    1,742,504.91x = 14,247,662,486,795.16
  5. Step 5: Solve for x
    x = 14,247,662,486,795.16/1,742,504.91
  6. Step 6: Final answer
    x = 8,176,540.82

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.