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Finding the Third Proportional to 985,270 and 1,484,952

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Solution

The third proportional to 985,270 and 1,484,952 is: 2,238,048.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    985,270 : 1,484,952 = 1,484,952 : x
  2. Step 2: Convert to fraction form
    985,270/1,484,952 = 1,484,952/x
  3. Step 3: Cross multiply
    985,270x = 1,484,952 × 1,484,952
  4. Step 4: Simplify right side
    985,270x = 2,205,082,442,304
  5. Step 5: Solve for x
    x = 2,205,082,442,304/985,270
  6. Step 6: Final answer
    x = 2,238,048.90

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.