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Finding the Third Proportional to 452,311.50 and 951,117

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Solution

The third proportional to 452,311.50 and 951,117 is: 2,000,001.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,311.50 : 951,117 = 951,117 : x
  2. Step 2: Convert to fraction form
    452,311.50/951,117 = 951,117/x
  3. Step 3: Cross multiply
    452,311.50x = 951,117 × 951,117
  4. Step 4: Simplify right side
    452,311.50x = 904,623,547,689
  5. Step 5: Solve for x
    x = 904,623,547,689/452,311.50
  6. Step 6: Final answer
    x = 2,000,001.21

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.