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Finding the Third Proportional to 595,506 and 1,297,908

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Solution

The third proportional to 595,506 and 1,297,908 is: 2,828,796.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,506 : 1,297,908 = 1,297,908 : x
  2. Step 2: Convert to fraction form
    595,506/1,297,908 = 1,297,908/x
  3. Step 3: Cross multiply
    595,506x = 1,297,908 × 1,297,908
  4. Step 4: Simplify right side
    595,506x = 1,684,565,176,464
  5. Step 5: Solve for x
    x = 1,684,565,176,464/595,506
  6. Step 6: Final answer
    x = 2,828,796.31

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.