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Finding the Third Proportional to 921,521 and 1,442,476

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Solution

The third proportional to 921,521 and 1,442,476 is: 2,257,937.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    921,521 : 1,442,476 = 1,442,476 : x
  2. Step 2: Convert to fraction form
    921,521/1,442,476 = 1,442,476/x
  3. Step 3: Cross multiply
    921,521x = 1,442,476 × 1,442,476
  4. Step 4: Simplify right side
    921,521x = 2,080,737,010,576
  5. Step 5: Solve for x
    x = 2,080,737,010,576/921,521
  6. Step 6: Final answer
    x = 2,257,937.70

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.