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Finding the Third Proportional to 762,215 and 1,114,695

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Solution

The third proportional to 762,215 and 1,114,695 is: 1,630,176.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    762,215 : 1,114,695 = 1,114,695 : x
  2. Step 2: Convert to fraction form
    762,215/1,114,695 = 1,114,695/x
  3. Step 3: Cross multiply
    762,215x = 1,114,695 × 1,114,695
  4. Step 4: Simplify right side
    762,215x = 1,242,544,943,025
  5. Step 5: Solve for x
    x = 1,242,544,943,025/762,215
  6. Step 6: Final answer
    x = 1,630,176.45

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.