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Finding the Third Proportional to 916,312 and 1,972,446

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Solution

The third proportional to 916,312 and 1,972,446 is: 4,245,871.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    916,312 : 1,972,446 = 1,972,446 : x
  2. Step 2: Convert to fraction form
    916,312/1,972,446 = 1,972,446/x
  3. Step 3: Cross multiply
    916,312x = 1,972,446 × 1,972,446
  4. Step 4: Simplify right side
    916,312x = 3,890,543,222,916
  5. Step 5: Solve for x
    x = 3,890,543,222,916/916,312
  6. Step 6: Final answer
    x = 4,245,871.74

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.