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Finding the Third Proportional to 644,597 and 1,366,033

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Solution

The third proportional to 644,597 and 1,366,033 is: 2,894,903.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,597 : 1,366,033 = 1,366,033 : x
  2. Step 2: Convert to fraction form
    644,597/1,366,033 = 1,366,033/x
  3. Step 3: Cross multiply
    644,597x = 1,366,033 × 1,366,033
  4. Step 4: Simplify right side
    644,597x = 1,866,046,157,089
  5. Step 5: Solve for x
    x = 1,866,046,157,089/644,597
  6. Step 6: Final answer
    x = 2,894,903.57

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.