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Finding the Third Proportional to 916,521 and 2,012,346

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Solution

The third proportional to 916,521 and 2,012,346 is: 4,418,378.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    916,521 : 2,012,346 = 2,012,346 : x
  2. Step 2: Convert to fraction form
    916,521/2,012,346 = 2,012,346/x
  3. Step 3: Cross multiply
    916,521x = 2,012,346 × 2,012,346
  4. Step 4: Simplify right side
    916,521x = 4,049,536,423,716
  5. Step 5: Solve for x
    x = 4,049,536,423,716/916,521
  6. Step 6: Final answer
    x = 4,418,378.22

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.