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Finding the Third Proportional to 897,002 and 1,426,423

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Solution

The third proportional to 897,002 and 1,426,423 is: 2,268,314.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    897,002 : 1,426,423 = 1,426,423 : x
  2. Step 2: Convert to fraction form
    897,002/1,426,423 = 1,426,423/x
  3. Step 3: Cross multiply
    897,002x = 1,426,423 × 1,426,423
  4. Step 4: Simplify right side
    897,002x = 2,034,682,574,929
  5. Step 5: Solve for x
    x = 2,034,682,574,929/897,002
  6. Step 6: Final answer
    x = 2,268,314.42

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.