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Finding the Third Proportional to 921,466 and 1,916,502

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Solution

The third proportional to 921,466 and 1,916,502 is: 3,986,017.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    921,466 : 1,916,502 = 1,916,502 : x
  2. Step 2: Convert to fraction form
    921,466/1,916,502 = 1,916,502/x
  3. Step 3: Cross multiply
    921,466x = 1,916,502 × 1,916,502
  4. Step 4: Simplify right side
    921,466x = 3,672,979,916,004
  5. Step 5: Solve for x
    x = 3,672,979,916,004/921,466
  6. Step 6: Final answer
    x = 3,986,017.84

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.