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Finding the Third Proportional to 811,521 and 1,735,612

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Solution

The third proportional to 811,521 and 1,735,612 is: 3,711,979.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    811,521 : 1,735,612 = 1,735,612 : x
  2. Step 2: Convert to fraction form
    811,521/1,735,612 = 1,735,612/x
  3. Step 3: Cross multiply
    811,521x = 1,735,612 × 1,735,612
  4. Step 4: Simplify right side
    811,521x = 3,012,349,014,544
  5. Step 5: Solve for x
    x = 3,012,349,014,544/811,521
  6. Step 6: Final answer
    x = 3,711,979.13

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.