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Finding the Third Proportional to 748,613 and 1,623,342

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Solution

The third proportional to 748,613 and 1,623,342 is: 3,520,162.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    748,613 : 1,623,342 = 1,623,342 : x
  2. Step 2: Convert to fraction form
    748,613/1,623,342 = 1,623,342/x
  3. Step 3: Cross multiply
    748,613x = 1,623,342 × 1,623,342
  4. Step 4: Simplify right side
    748,613x = 2,635,239,248,964
  5. Step 5: Solve for x
    x = 2,635,239,248,964/748,613
  6. Step 6: Final answer
    x = 3,520,162.29

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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.