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Finding the Third Proportional to 4,814,784 and 7,316,736

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Solution

The third proportional to 4,814,784 and 7,316,736 is: 11,118,801.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,814,784 : 7,316,736 = 7,316,736 : x
  2. Step 2: Convert to fraction form
    4,814,784/7,316,736 = 7,316,736/x
  3. Step 3: Cross multiply
    4,814,784x = 7,316,736 × 7,316,736
  4. Step 4: Simplify right side
    4,814,784x = 53,534,625,693,696
  5. Step 5: Solve for x
    x = 53,534,625,693,696/4,814,784
  6. Step 6: Final answer
    x = 11,118,801.11

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.