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Finding the Third Proportional to 530,700 and 1,121,300

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Solution

The third proportional to 530,700 and 1,121,300 is: 2,369,160.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,700 : 1,121,300 = 1,121,300 : x
  2. Step 2: Convert to fraction form
    530,700/1,121,300 = 1,121,300/x
  3. Step 3: Cross multiply
    530,700x = 1,121,300 × 1,121,300
  4. Step 4: Simplify right side
    530,700x = 1,257,313,690,000
  5. Step 5: Solve for x
    x = 1,257,313,690,000/530,700
  6. Step 6: Final answer
    x = 2,369,160.90

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.