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Finding the Third Proportional to 623,889 and 1,277,343

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Solution

The third proportional to 623,889 and 1,277,343 is: 2,615,217.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    623,889 : 1,277,343 = 1,277,343 : x
  2. Step 2: Convert to fraction form
    623,889/1,277,343 = 1,277,343/x
  3. Step 3: Cross multiply
    623,889x = 1,277,343 × 1,277,343
  4. Step 4: Simplify right side
    623,889x = 1,631,605,139,649
  5. Step 5: Solve for x
    x = 1,631,605,139,649/623,889
  6. Step 6: Final answer
    x = 2,615,217.03

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.