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Finding the Third Proportional to 4,402,980 and 6,735,784

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Solution

The third proportional to 4,402,980 and 6,735,784 is: 10,304,563.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,402,980 : 6,735,784 = 6,735,784 : x
  2. Step 2: Convert to fraction form
    4,402,980/6,735,784 = 6,735,784/x
  3. Step 3: Cross multiply
    4,402,980x = 6,735,784 × 6,735,784
  4. Step 4: Simplify right side
    4,402,980x = 45,370,786,094,656
  5. Step 5: Solve for x
    x = 45,370,786,094,656/4,402,980
  6. Step 6: Final answer
    x = 10,304,563.29

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.