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Finding the Third Proportional to 530,336 and 1,153,952

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Solution

The third proportional to 530,336 and 1,153,952 is: 2,510,870.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,336 : 1,153,952 = 1,153,952 : x
  2. Step 2: Convert to fraction form
    530,336/1,153,952 = 1,153,952/x
  3. Step 3: Cross multiply
    530,336x = 1,153,952 × 1,153,952
  4. Step 4: Simplify right side
    530,336x = 1,331,605,218,304
  5. Step 5: Solve for x
    x = 1,331,605,218,304/530,336
  6. Step 6: Final answer
    x = 2,510,870.88

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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.