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Finding the Third Proportional to 637,386 and 1,369,497

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Solution

The third proportional to 637,386 and 1,369,497 is: 2,942,521.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    637,386 : 1,369,497 = 1,369,497 : x
  2. Step 2: Convert to fraction form
    637,386/1,369,497 = 1,369,497/x
  3. Step 3: Cross multiply
    637,386x = 1,369,497 × 1,369,497
  4. Step 4: Simplify right side
    637,386x = 1,875,522,033,009
  5. Step 5: Solve for x
    x = 1,875,522,033,009/637,386
  6. Step 6: Final answer
    x = 2,942,521.54

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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.