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Finding the Third Proportional to 1,742,353.88 and 3,736,929.94

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Solution

The third proportional to 1,742,353.88 and 3,736,929.94 is: 8,014,815.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,742,353.88 : 3,736,929.94 = 3,736,929.94 : x
  2. Step 2: Convert to fraction form
    1,742,353.88/3,736,929.94 = 3,736,929.94/x
  3. Step 3: Cross multiply
    1,742,353.88x = 3,736,929.94 × 3,736,929.94
  4. Step 4: Simplify right side
    1,742,353.88x = 13,964,645,357,783.75
  5. Step 5: Solve for x
    x = 13,964,645,357,783.75/1,742,353.88
  6. Step 6: Final answer
    x = 8,014,815.79

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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.