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Finding the Third Proportional to 3,051,672 and 4,616,784

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Solution

The third proportional to 3,051,672 and 4,616,784 is: 6,984,595.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,051,672 : 4,616,784 = 4,616,784 : x
  2. Step 2: Convert to fraction form
    3,051,672/4,616,784 = 4,616,784/x
  3. Step 3: Cross multiply
    3,051,672x = 4,616,784 × 4,616,784
  4. Step 4: Simplify right side
    3,051,672x = 21,314,694,502,656
  5. Step 5: Solve for x
    x = 21,314,694,502,656/3,051,672
  6. Step 6: Final answer
    x = 6,984,595.49

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.