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Finding the Third Proportional to 623,700 and 1,352,295

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Solution

The third proportional to 623,700 and 1,352,295 is: 2,932,021.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    623,700 : 1,352,295 = 1,352,295 : x
  2. Step 2: Convert to fraction form
    623,700/1,352,295 = 1,352,295/x
  3. Step 3: Cross multiply
    623,700x = 1,352,295 × 1,352,295
  4. Step 4: Simplify right side
    623,700x = 1,828,701,767,025
  5. Step 5: Solve for x
    x = 1,828,701,767,025/623,700
  6. Step 6: Final answer
    x = 2,932,021.43

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.