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Finding the Third Proportional to 602,748 and 1,285,464

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Solution

The third proportional to 602,748 and 1,285,464 is: 2,741,473.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,748 : 1,285,464 = 1,285,464 : x
  2. Step 2: Convert to fraction form
    602,748/1,285,464 = 1,285,464/x
  3. Step 3: Cross multiply
    602,748x = 1,285,464 × 1,285,464
  4. Step 4: Simplify right side
    602,748x = 1,652,417,695,296
  5. Step 5: Solve for x
    x = 1,652,417,695,296/602,748
  6. Step 6: Final answer
    x = 2,741,473.54

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.