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Finding the Third Proportional to 623,712 and 1,347,200

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Solution

The third proportional to 623,712 and 1,347,200 is: 2,909,913.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    623,712 : 1,347,200 = 1,347,200 : x
  2. Step 2: Convert to fraction form
    623,712/1,347,200 = 1,347,200/x
  3. Step 3: Cross multiply
    623,712x = 1,347,200 × 1,347,200
  4. Step 4: Simplify right side
    623,712x = 1,814,947,840,000
  5. Step 5: Solve for x
    x = 1,814,947,840,000/623,712
  6. Step 6: Final answer
    x = 2,909,913.29

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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.