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Finding the Third Proportional to 623,365 and 1,345,142

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Solution

The third proportional to 623,365 and 1,345,142 is: 2,902,644.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    623,365 : 1,345,142 = 1,345,142 : x
  2. Step 2: Convert to fraction form
    623,365/1,345,142 = 1,345,142/x
  3. Step 3: Cross multiply
    623,365x = 1,345,142 × 1,345,142
  4. Step 4: Simplify right side
    623,365x = 1,809,407,000,164
  5. Step 5: Solve for x
    x = 1,809,407,000,164/623,365
  6. Step 6: Final answer
    x = 2,902,644.52

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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.