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Finding the Third Proportional to 828,924 and 1,246,461

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Solution

The third proportional to 828,924 and 1,246,461 is: 1,874,315.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    828,924 : 1,246,461 = 1,246,461 : x
  2. Step 2: Convert to fraction form
    828,924/1,246,461 = 1,246,461/x
  3. Step 3: Cross multiply
    828,924x = 1,246,461 × 1,246,461
  4. Step 4: Simplify right side
    828,924x = 1,553,665,024,521
  5. Step 5: Solve for x
    x = 1,553,665,024,521/828,924
  6. Step 6: Final answer
    x = 1,874,315.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.