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Finding the Third Proportional to 711,492.61 and 1,482,000.05

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Solution

The third proportional to 711,492.61 and 1,482,000.05 is: 3,086,924.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    711,492.61 : 1,482,000.05 = 1,482,000.05 : x
  2. Step 2: Convert to fraction form
    711,492.61/1,482,000.05 = 1,482,000.05/x
  3. Step 3: Cross multiply
    711,492.61x = 1,482,000.05 × 1,482,000.05
  4. Step 4: Simplify right side
    711,492.61x = 2,196,324,138,937.50
  5. Step 5: Solve for x
    x = 2,196,324,138,937.50/711,492.61
  6. Step 6: Final answer
    x = 3,086,924.74

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.