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Finding the Third Proportional to 762,911 and 1,154,187

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Solution

The third proportional to 762,911 and 1,154,187 is: 1,746,137.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    762,911 : 1,154,187 = 1,154,187 : x
  2. Step 2: Convert to fraction form
    762,911/1,154,187 = 1,154,187/x
  3. Step 3: Cross multiply
    762,911x = 1,154,187 × 1,154,187
  4. Step 4: Simplify right side
    762,911x = 1,332,147,630,969
  5. Step 5: Solve for x
    x = 1,332,147,630,969/762,911
  6. Step 6: Final answer
    x = 1,746,137.66

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.