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Finding the Third Proportional to 4,459,630 and 6,584,468

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Solution

The third proportional to 4,459,630 and 6,584,468 is: 9,721,707.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,459,630 : 6,584,468 = 6,584,468 : x
  2. Step 2: Convert to fraction form
    4,459,630/6,584,468 = 6,584,468/x
  3. Step 3: Cross multiply
    4,459,630x = 6,584,468 × 6,584,468
  4. Step 4: Simplify right side
    4,459,630x = 43,355,218,843,024
  5. Step 5: Solve for x
    x = 43,355,218,843,024/4,459,630
  6. Step 6: Final answer
    x = 9,721,707.60

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.