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Finding the Third Proportional to 1,742,322.81 and 3,736,866.10

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Solution

The third proportional to 1,742,322.81 and 3,736,866.10 is: 8,014,684.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,742,322.81 : 3,736,866.10 = 3,736,866.10 : x
  2. Step 2: Convert to fraction form
    1,742,322.81/3,736,866.10 = 3,736,866.10/x
  3. Step 3: Cross multiply
    1,742,322.81x = 3,736,866.10 × 3,736,866.10
  4. Step 4: Simplify right side
    1,742,322.81x = 13,964,168,268,304.27
  5. Step 5: Solve for x
    x = 13,964,168,268,304.27/1,742,322.81
  6. Step 6: Final answer
    x = 8,014,684.85

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.