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Finding the Third Proportional to 623,684 and 1,347,148

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Solution

The third proportional to 623,684 and 1,347,148 is: 2,909,819.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    623,684 : 1,347,148 = 1,347,148 : x
  2. Step 2: Convert to fraction form
    623,684/1,347,148 = 1,347,148/x
  3. Step 3: Cross multiply
    623,684x = 1,347,148 × 1,347,148
  4. Step 4: Simplify right side
    623,684x = 1,814,807,733,904
  5. Step 5: Solve for x
    x = 1,814,807,733,904/623,684
  6. Step 6: Final answer
    x = 2,909,819.29

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.