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Finding the Third Proportional to 3,244,032 and 4,742,784

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Solution

The third proportional to 3,244,032 and 4,742,784 is: 6,933,963.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,244,032 : 4,742,784 = 4,742,784 : x
  2. Step 2: Convert to fraction form
    3,244,032/4,742,784 = 4,742,784/x
  3. Step 3: Cross multiply
    3,244,032x = 4,742,784 × 4,742,784
  4. Step 4: Simplify right side
    3,244,032x = 22,494,000,070,656
  5. Step 5: Solve for x
    x = 22,494,000,070,656/3,244,032
  6. Step 6: Final answer
    x = 6,933,963.68

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.